Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)​

Select The Correct Answer. One Factor Of The Polynomial 213 3r2 3x + 2 Is (t 2), Which Expression Represents

Answers

Answer 1

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Answer 2

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                 4       2     -2

   -------------------------------

         2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                  -2    1

    ---------------------

            2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

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Related Questions

Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all

Answers

Answer:

63+38=101

Step-by-step explanation:


What is the GCF of 45x^5
and
36x^9

Answers

Answer:

9x^5

Step-by-step explanation:

the factors of 45:

1, 3, 5, 9, 15, 45

the factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common is 9

Answer:

The answer is 3

Step-by-step explanation:

because I said so

PLZZ HELP ME IM DOING A TEST RNNNN.

Answers

Answer:

5(x)+5(y)=10

10(x)+2(y)=12

Step-by-step explanation:

i just got done with that same thing

Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?

Answers

Answer:

Step-by-step explanation:

Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?

Let us represent

Number of apples = x

Number of pears = y

Number of oranges = z

Given that

3 apples and 4 pears cost $1.95

3x + 4y = 1.95

4 pears and 1 orange cost $1.60

4y + z = 1.60

z = 1.60 - 4y

1 orange and 3 apples cost $1.15

z + 3x = 1.15

z = 1.15 - 3x

what is the cost of 1 apple?

Select three expressions that are equivalent to 12y + 18 by factoring,
6(2 + 3y)
2(6 + 9)
209 + 6y)
6(3 + 2y)
3(4y + 6)

Answers

Answer:

3(4y + 6)

6(3 + 2y)

2(9+6y)

Step-by-step explanation:

When factored, all of them are equivalent to 12y + 18.

Answer:

6(2 + 3y), 6(3 + 2y), and 3(4y + 6)

Step-by-step explanation:

6(2 + 3y)= 18y+12

2(6 + 9)=30

209 + 6y)= can't factor

6(3 + 2y)= 12y+18

3(4y + 6)=12y+18

hope this helps :)

Colleen's movie collection contains 8 movies, including 4 romance movies. What is the probability that a randomly selected movie will be a romance movie?

Answers

Answer: 1/2

Step-by-step explanation:

There are 8 movies in total.

4 of those movies are romance movies.

The probability of picking a romance movie is the proportion of romance movies to the total number of movies.

= Number of romance movies / Number of total movies

= 4 / 8

= 1 / 2

Answer:

1/2

Step-by-step explanation:

Expand: logh(9jk) Log Subscript h Baseline 9 times log Subscript h Baseline j times log Subscript h Baseline k Log Subscript h Baseline 9 + log Subscript h Baseline j + log Subscript h Baseline k Log 9 + log j + log k

Answers

Answer:

log h 9 + log h j +log h k

Step-by-step explanation:

i got it right on edg

Answer:

it is B for all u speed run edge people

Step-by-step explanation:

big luck in life

Kirk is getting a raise of 5% due to inflation. His normal salary is $56,000 per year. Which of the following calculations gives Kirk's new salary, in dollars? A. 56,000 +5 B. 56,000 + 56,000(0.05) C. 56,000 + 56,000(0.50) D. 56,000 + 56,000(5) E. 56,000(.05)

Answers

Answer:

The answer is B. 56,000 + 56,000(0.05) because 5% or expressed in decimals 0.05 multiplied by the quantity 56,000 gives us 5% of Kirk's normal salary and added to his normal salary will give us his new salary.

(His new salary is 58,800 and 5% of his normal salary is 2,800)

PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY

Answers

Answer:

z=95

Step-by-step explanation:

z-28=67

 +28  +28

x=95

all you have to do is make both side of the eqaution balanced

if you add 28 to one side you do it to the other side as well

Z-28=67 add 28 twice the u get z=95

Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?

Answers

Answer:

Step-by-step explanation:

57x2/(12+7)=6

2x-y+8z=13
3x+4y+52=18
5x-2y-72=20​

Answers

Answer:

Answer is above (In the image).

Step-by-step explanation:

I am not sure if that is what you were looking for. To convert it to decimals, just input the figures into your calculator.

In my opinion the best way to solve these equations are elimination, therefore I will be giving my answer in this way!

2x-y+8z=13 1️⃣

3x+4y+52=182️⃣

5x-2y-72=203️⃣

We first combine liked terms in equation 2 and 3.

2️⃣turns into 3x+4y=-34 let's call it 2️⃣'

3️⃣turns into 5x-2y=92 let's call it 3️⃣'

Then solve for x

3️⃣'*2

10x-4y=184

3️⃣+2️⃣

13x=150

x=150/13

Now substitute the x back into equation 2️⃣'

3*150/13+4y=-34

450/13+4y=-442/13

4y=-892/13

2y=-446/13

y=-223/13

Now we can substitute this back into 1️⃣ to solve for z

2*150/13- - 223/13+8z=169/13

523/13+8z=169/13

8z=-354/13

4z=-177/13

z=-177/52

This problem is kind of messy so let me restate my answer!

x=150/13

y=-223/13

z=-177/52

I really hoped this is correct and it helped, and would appreciate it if you give me brainlliest! If you have any more questions about my solution please ask me in the comments!

Avery is buying string and beads to make bracelets for her family and friends. She plans to divide the string into 9-inch pieces to make at least 27 bracelets. What is the minimum amount of string she needs to buy?

Answers

How big is each bracelet?

Answer:

243 inches

Step-by-step explanation:

27 bracelets at 9inches each

9x27=243 inches or 20 feet and 1/4 inches of string. Depending on how the string is sold (by the foot, by the inch, yard, etc) will determine her minimum quantity, if you want to get specific.


Find the highest common factor of 35 and 8C.

Answers

Answer:

Factors of 35 = 1, 5, 7 and 35

Factors of 8= 1, 2, 4, 8.

common = 1

The Value that you insert into a function is know as the?

Answers

Answer:

Step-by-step explanation:

Most commonly, that value would be the "independent variable."

We evaluate the function at that particular value of the independent variable.

can anyone solve this​

Answers

Answer:

Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)

=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)

=1+2sin A+1/cos A(1+sin A)

=2(1+sin A)/cos A(1+ sin A)

=2sec A

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction

= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator

= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]

= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]

= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator

= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator

= [tex]\frac{2}{cosA}[/tex]

= 2secA = right side, thus verified

In the number 8246315 what digit is in the hundreds place?​

Answers

Answer:

the digit 3 is in the hundredths place

Step-by-step explanation:

8,246,315

the 3

Answer:

3

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option C it is sure

,

A

trust me looooooooooll

Which table and graph represent the equation y = 3X?
—————————
a.table B and graph A
b.table B and Graph B
c.table A and graph B
d.table A and graph A

Answers

Answer:

d. table A and graph A

Step-by-step explanation:

y=3x

y = 3X is represented by graph B .

y = 3X is represented by table A .

Hence option C is correct .

Given, Equation : y = 3X

Now, to get the values of y substitute x.

Firstly table A:

y = 3X

x = 1 : y = 3

x = 2 : y = 6

x = 3 : y = 9

Thus table A represents the equation .

Next graph B :

Starting point of graph B is origin.

Coordinates of origin : (0,0)

Equation of graph B : y = 3X

Thus graph B represents the equation .

Therefore option C is correct .

Know more about equations,

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A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth

Answers

Answer:

C≈51.84in

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C= πd= π·16.5≈51.83628in

I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?

3 over 7, 2 over 5, 3 over 4, 2 over 9

2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9

Answers

Answer:

2/9 = 0.2 repeating

3/7 = 0.428571 repeating

Step-by-step explanation:

Y=x^4-4x^3.FInd the value of u when x=-1

Answers

This is what I got hope it helps

What is UW? For brainliest

Answers

Answer:

UW = 5

Step-by-step explanation:

use the altitude rule and set up a proportion:

4/UW = UW/6.25

cross-multiply:

UW² = 25

UW = [tex]\sqrt{25}[/tex]

UW = 5

Shota tried to subtract two polynomials. His work is shown below: \begin{aligned} &\phantom{=}(12a^2+3ab+4b^2)-(7a^2-5ab+b^2) \\\\ &=12a^2+3ab+4b^2-7a^2+5ab-b^2&\text{Step }1 \\\\ &=(12+3)a^3+(3+4)b^3+(-7+5)a^3+(5-1)b^3&\text{Step }2 \\\\ &=15a^3+7b^3-2a^3+4b^3&\text{Step }3 \end{aligned} ​ =(12a 2 +3ab+4b 2 )−(7a 2 −5ab+b 2 ) =12a 2 +3ab+4b 2 −7a 2 +5ab−b 2 =(12+3)a 3 +(3+4)b 3 +(−7+5)a 3 +(5−1)b 3 =15a 3 +7b 3 −2a 3 +4b 3 ​ Step 1 Step 2 Step 3 ​

Answers

Answer:

what-

in the world

Step-by-step explanation:

A farmer bought three seeds ,the probability that each of them germination is 3/4.If he plant all of them,find the probability that only one of them germinate

Answers

Answer:

[tex]\frac{9}{64}[/tex]

Step-by-step explanation:

Probability refers to chance of occurrence of any event.

Probability that each of them is germinates [tex]=\frac{3}{4}[/tex]

So,

Probability that each of them is germinates won't germinate [tex]=1-\frac{3}{4}=\frac{1}{4}[/tex]

Probability that only one of them will germinate = [tex]=\frac{3}{4}(\frac{1}{4})^2=\frac{9}{64}[/tex]

find a ⋅ b
a = 7i - 4j, b = 4i + 3j

Answers

Answer:

28i^2 + 5ij - 12j^2

Step-by-step explanation:

(7i-4j)(4i+3j)

7i times 4i is 28i^2

7i times 3j is 21ij

-4j times 4i is -16ij

-4j times 3j is -12j^2

In equation it looks like this:

28i^2+21ij-16ij-12j^2

Simplify 21ij and -16ij

21ij-16ij is 5ij

So the answer is:

28i^2 + 5ij - 12j^2

Hope this helps!

Answer:

The answer is 16

Step-by-step explanation:

For the equation: 4x+y=10 what does x equal if y=-6?

Answers

Answer:

x = 4

pls mark as brainliest...

Answer:

x=4

Step-by-step explanation:

4x+y=10 then, plug in y

4x+(-6)=10 then, isolate x by adding 6to both sides,

+ 6 +6 then, divide by 4 on each side

4x/4=x

16/4=4

x=4

Solve the equation y – 5x = –7 for y.
A. y = 5x – 7
B. y = –5x – 7
C. y = 5x + 7
D. y = –5x + 7

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer: A. y = 5x -7

Step-by-step explanation:

Y - 5x = -7

+ 5x + 5x

Y = 5x - 7

**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box. ​

Answers

Answer:

580 cm^2

Step-by-step explanation:

First, find the area of the front and back. 20*10=200

There are 2 sides with 20*10 ( front and back) so we can multiply by 2. 200*2=400

Then, the sides. 3*20=60*2=120

Then, the top and bottom 10*3=30*2=60

400+120+60=580

Answer:

420

Step-by-step explanation:

60+60+30+30+120+120

hope this helped :)

10 points possible. answer everything completely and I will mark brainliest

Answers

Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.

Step-by-step explanation:

Could you please help me? Thank you!

Answers

Answer:

steak

Step-by-step explanation:

you can touch the steak

you can eat the steak

you can smell the steak

you can hear the steak sizzle

you watch the steak as it cooks

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