Mathematics High School

Use the graph of the polynomial
function to find the factored form of
its related polynomial. Assume it
has no constant factor

Use The Graph Of The Polynomialfunction To Find The Factored Form Ofits Related Polynomial. Assume Ithas

Answers

Answer 1

Answer:

The factored form of the polynomial is [tex]y = (x-2)\cdot (x+1)[/tex].

Step-by-step explanation:

According to the graph, we have a second order polynomial with a vertical axis of symmetry. The standard form of the polynomial is:

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Coefficients.

We can obtain the solution of the polynomial by knowing three distinct points. From graph we know that the curve pass through the following three points: [tex](x_{1},y_{1}) = (-1, 0)[/tex], [tex](x_{2},y_{2}) = (0, -2)[/tex], [tex](x_{3},y_{3}) = (2,0)[/tex]. Three linear equations are constructed:

[tex]a^{2}-b+c = 0[/tex] (2)

[tex]c = -2[/tex] (3)

[tex]4\cdot a + 2\cdot b + c = 0[/tex] (4)

The solution of this system is [tex]a = 1[/tex], [tex]b = -1[/tex] and [tex]c = -2[/tex]. Then, the polynomial in standard form is [tex]y = x^{2}-x-2[/tex]. By factorization, we find that factored form is:

[tex]y = (x-2)\cdot (x+1)[/tex] (5)

Related Questions

factor out the GCF from the terms of the polynomial 2x^3-10x^2+21

Answers

Answer:

The greatest common factor is one

Step-by-step explanation:

The mean average of 4 numbers is 88 what is the fourth number if three of the numbers are 80 95 and 85?

Answers

Answer:the fourth number is =97

Step-by-step explanation:

Mean = total number of the given numbers( x1 +x2+ x3....) /  numbers given

Let the fourth number be x

given that the mean of 4 numbers = 88 and only 3 numbers are given

such that

Mean = total number of the given numbers( x1 +x2+ x3....) /  numbers given becomes

88=  (80 +90 + 85 + x ) / 4

88 x 4 =80 +90 + 85 + x

352=255+x

x= 352-255

x=97

Which expressions are equivalent to -2(5x-3/4)
1. -2(5x)+(-2)(-3/4)

2. -10x-3/4

3. -10x+6/2

4. -10x+3/2

5. -10x-6/2

Answers

Answer:

1, 4

Step-by-step explanation:

The telephone company purchased 192 yards of wire for $2,304 in January. They
plan on making a purchase of 400 yards in February. How much will the February
purchase cost?

Answers

Answer:

Step-by-step explanation:

400yd($2304/192yd)=$4800

Answer:

400 yards of wire will cost $4,800

Step-by-step explanation:

First find the cost per yard of wire by using the equation 2,304/192 which equals 12/1, which is $12 per yard of wire. Next multiply that by 400 to get $4800, which is the total February purchase cost.

A car was reduced in price by 13% to £17400 what was original price

Answers

the answer is 19,962 because 13% of 17,400 is 2,262 and add them and you get 19,962

BRAINLIEST WILL BE GIVEN: (25 pts) Hikers are traveling at 3 miles per hour. They leave camp and hike LaTeX: N64^\circ WN 64 ∘ W for 2 hours. They change course to LaTeX: S23^\circ WS 23 ∘ W for 4 hours. How many miles is the trip back to camp. What bearing should they take to head back to camp?

Answers

Answer:

1222

Step-by-step explanation:

What form is this written in?

f(x)=(x-3)²+72

standard
intercept
vertex
slope​

Answers

that should be vertex form

Answer:

C. vertex

Step-by-step explanation:

Given function

f(x)=(x-3)²+72

This is a vertex form of the quadratic function

Correct option is C

solve : 2⁴
I need to show work​

Answers

Answer:

16

Step-by-step explanation:

2 to the power 4

2 × 2 × 2 × 2 = 4 × 2 × 2 = 8 × 2 = 16

2⁴=16

2•2=4

4•2=8

8•2=16

hope i helped. (:

angle 9 and angle 10 are corresponding and complementary angles formed by two parallel lines cut by a transversal. find m angle 9

Answers

Answer:

45 degrees

Step-by-step explanation:

if <9 and <10 are corresponding, it means they are equal i.e <9 = <10

Since <9 and <10 are also complementary angles, their sum will be 90 degrees

<9+<10 = 90

<9 + <9 = 90

2m<9 = 90

m<2 = 90/2

m<2 = 45 degrees

Hence the measure of angle 9 is 45 degrees

Has anyone done this
1. Use the Notes Expand Linear Expression (aka Distributive Property) pg. 237 ex. 4-6 which we covered on the Edpuzzle to complete the assignment.


Assignment pg. 241 9-14


2. Take a clear/readable picture and submit in Schoology


Posted Thu Jan 14, 2021 at 10:20 am

Answers

Lol I’m confused i think u were just bored lol

im dum pls


help


4 brainliest

Answers

Answer:

2400

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

240*10=2400

In AABC, AB = AC and measure of ZABC is 41°. The measure of ZBAC is
degrees.

Answers

Answer:

Cant see the pic

Step-by-step explanation:

A tube of toothpaste is marked $3.92 for 8 ounces. What is the price per ounce?

Answers

Answer:

$0.49

Step-by-step explanation:

If the tube is 8 ounces and is priced at $3.92, then one ounce would be $3.92/8 =

$0.49

49 cents, hope this helps!


3(s +1) = 33
What is the value of s?

Answers

Answer: the value would be 3

Step-by-step explanation:

I did the worksheet for math!

Answer: s = 10

Step-by-step explanation:

3(s + 1) = 33

I 3 x s = 3s I 3 x 1 = 3 I

3s + 3 = 33

    -  3  - 3

__________

3s = 30

/3    /3

s = 10

Pitágoras filósofo matemático griego biblio entre los años 500 8496 antes de Cristo A qué edad murió y cuántos años hace que murió​

Answers

Answer:

if you can transfer to englis i may be able to help

Step-by-step explanation:

Determine the average rate of change from x = 0 to x = 4

Answers

Answer:

I'm super bad at math sowy!!!

Step-by-step explanation:

\(T T)/

A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?

A triangle with the same height as the pyramid

A square that is smaller than the base

A square that is congruent to the base

A trapezoid that is shorter than the pyramid

Answers

Answer:

I think the answer is a because it not getting any smaller

Answer:

I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.

Step-by-step explanation:

Identify the slope of the line in the graph.

Answers

Answer:

-1/2

Step-by-step explanation:

Slope is calculated by rise over run.

In this case, the rise is 1, and the run is -2.

So, the slope is -1/2.

Let me know if this helps!

Which system of equations has no solutions? (Systems of Linear Equations - Quiz I-ready)

Answers

Answer:c parallel lines

Step-by-step explanation:

Only hash channel catfish typically was about 0.06 g during the first six weeks of life at weight increase about 10% each day right a exponential model for the weight how much will the catfish gain weight after six weeks

Answers

Answer:

3.225 gram

Step-by-step explanation:

Given that :

Initial weight = 0.06g

Rate of increase, r = 10% = 0.1 per day

Weight gain after 6 weeks

For an exponential model. f(x)

f(x) = a(1 + r)^x

Where ; a = initial amount ; r = growth rate ; x = period

Our model becomes :

f(x) : 0.06(1 + 0.1)^x

f(x) = 0.06(1.1)^x

Number of days in 6 weeks = 6*7 = 42 = x

f(42) : 0.06(1.1)^42

= 3.285 gram

Hence, weight gain after 6 weeks :

(3.285 - 0.06) g = 3.225 gram

During a normal sleep, a bears heart beats about 50 times a minute. In its deepest state of hibernation, a bears heart may beat 55 times in 5 minutes. During deep hibernation, how many times would the bear heart beat in 45 minutes

Answers

Answer:

495

Step-by-step explanation:

First you would do 45/5=9

Then do 9*55=495

YW!!!!

a plywood plank measures 1cmx 8cm x 90cm and it weighs 396g.What is the density
answer

Answers

Answer:

the answer is 0.55

density=mass/volume

density=396/720(8*1*90)

look at the picture and yea I will give you a thank you 5 stars and brainiet

Answers

Answer:

its answer 3

Step-by-step explanation:

Hi! It is answer 3. Hope this helps!

helpppppppppppppppppppppppp WILL MARK BRAINLIST

Answers

Sub in -7 as x
-(-7)^2 + 8(-7)
= -49 -56
= -105

Find the nth term of the sequence
0, 5, 14, 27, 44......​

Answers

Answer:

aₙ = 2*n*n - n -1

Step-by-step explanation:

a₁ = 0

a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5

a₃ = 2*3*3 -3-1 = 18-4 =14

a₄ = 2*4*4 - 4-1 = 32-5 =27

......

aₙ = 2*n*n - n -1

Write as an algebraic expression.
1. the sum of m and 8



​

Answers

Answer: m+8 =

Step-by-step explanation:

7g + 4g + 3g − 13g + g = 10 please help!!

Answers

Combine like terms.


7g + 4g + 3g + g = 15g

15g - 13g = 2g


2g = 10


Divide by 2 on both sides.


g = 5

Answer: g=5

Step-by-step explanation:

Given

7g+4g+3g-13g+g=10

Combine like terms

2g=10

Divide 2 on both sides

2g/2=10/2

g=5

Hope this helps!! :)

Please let me know if you have any questions

Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.

Answers

Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.

Step-by-step explanation: the strat would eliminate a variable in this system

Find the Nth term of the sequence 5, 9, 13, 17, 21Required to answer. Single choice.

Answers

adds 4 each time and 5-4=1 so nth term is 4n + 1

anyone know the answer?

Answers

Answer:

C. 3x + 5

Step-by-step explanation:

Go to m a t h w a y . c o m (with no spaces, wont let me post without) trust me, this will save u in math

Answer : Option C. 3x+5
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