f(x)= x 2 (x – 2) 3 (x – 7) Describe the graph at each x-intercept. Select ALL that apply.

The graph bounces (or touches) at 0.

The graph crosses (goes through) and flattens at 2.

The graph bounces and flattens at 2.

Select ALL the statements that are true.

Each x-intercept has an odd multiplicity.

There are not any non real solutions.

The degree is even and the leading coefficient is positive.

Describe the end behavior by the degree and leading coefficient.

The function has an odd degree and a positive leading coefficient.

The function has an even degree and a positive leading coefficient.

The function has an even degree and a negative leading coefficient.

The function has an odd degree and a negative leading coefficient.

Which statement is correct about the real and non real solutions of the polynomial shown in the graph?

There are 3 real solutions and 2 non real solutions.

There are only 3 real solutions.

There are 3 real solutions and 1 imaginary solution.

The number of real and non real solutions cannot be determined.

Which of the following statements is true?

The multiplicity of each zero is odd.

The multiplicity of each zero is even.

The multiplicity can't be determined because there isn't an equation in standard form.

The multiplicity can't be determined because there isn't an equation in factored form.

Cam thinks (-2, 0) is an x-intercept of $$f\left(x\right)=x^3+3x^2-4x-2$$ Since f(x) cannot be factored, which of the following statements defends his statement correctly or proves his statement is incorrect?

Cam is incorrect because when the input of f is -2, the output of f is 10.

Cam is correct because when the input of f is -2, the output of f is 0.

Cam is correct because when the input of f is 0, the output of f is -2.

Cam is incorrect because when the input of f is- 2, the output of f is -14.

Honors Quiz Review - Quads & Char. Polynomials (no extrema)

9th - 11th Grade

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35 Qs

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Honors Quiz Review - Quads & Char. Polynomials (no extrema)

Quiz

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Easy

•

CCSS

HSA.APR.B.3, HSF.IF.C.7, HSF.IF.A.1

+16

Standards-aligned

KC Bellflower

Used 65+ times

FREE Resource

35 questions

Show all answers

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

A polynomial has roots of -4, 1, and 6. What is the polynomial in factored form?

$\left(x+4\right)\left(x-1\right)\left(x-6\right)$

$\left(x-4\right)\left(x+1\right)\left(x+6\right)$

$-4x^2+x+6$

$x^3-3x^2-22x+24$

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

$f\left(x\right)=x^4-19x^2-6x+72$ has what y-intercept?

(0, 72)

(0, 56)

(0, 64)

(0, 68)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Complete the statement about the end behavior: $f\left(x\right)=x^4-19x^2-6x+72$
As f(x) $\rightarrow$ _, $x\ \rightarrow-\infty$
As f(x) $\rightarrow$ _, $x\rightarrow\infty$

$\infty\ and\ \infty$

$-\infty\ and\ -\infty$

$-\infty\ and\ \infty$

$\infty\ and\ -\infty$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

$f\left(x\right)\ =\ -x^2\left(x-1\right)\left(x+3\right)^2$
What is the degree of the polynomial?

cannot determine

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

What is a possible equation for the polynomial in factored form?

f(x) = -x(x + 1)(x + 3)(x + 4)

f(x) = -x(x - 1)(x - 3)(x - 4)

f(x) = x(x - 1)(x - 3)(x - 4)

f(x) = x(x + 1)(x + 3)(x + 4)

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Name all the roots of the polynomial function?

(-6, 0), (2, 0), (0, 4), (5, 0)

-6, 2, 4, 5

(-6, 0), (2, 0), (5, 0)

-6, 2, 5

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

What is the numeric degree of the polynomial function?

unable to determine

Tags

CCSS.HSA.APR.B.3

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Honors Quiz Review - Quads & Char. Polynomials (no extrema)

35 questions

A polynomial has roots of -4, 1, and 6. What is the polynomial in factored form?

$f\left(x\right)=x^4-19x^2-6x+72$ has what y-intercept?

Complete the statement about the end behavior: $f\left(x\right)=x^4-19x^2-6x+72$
As f(x) $\rightarrow$ _, $x\ \rightarrow-\infty$
As f(x) $\rightarrow$ _, $x\rightarrow\infty$

$f\left(x\right)\ =\ -x^2\left(x-1\right)\left(x+3\right)^2$
What is the degree of the polynomial?

What is a possible equation for the polynomial in factored form?

Name all the roots of the polynomial function?

What is the numeric degree of the polynomial function?

f(x)= x²(x – 2)³(x – 7)

Describe the graph at each x-intercept. Select ALL that apply.

What is the maximum number of turns of the following function?
f(x) = 5x⁸- 10x⁶- 4x⁴+ 24?

Select ALL the statements that are true.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Honors Quiz Review - Quads & Char. Polynomials (no extrema)

35 questions

A polynomial has roots of -4, 1, and 6. What is the polynomial in factored form?

f(x)=x4−19x2−6x+72f\left(x\right)=x^4-19x^2-6x+72f(x)=x4−19x2−6x+72 has what y-intercept?

Complete the statement about the end behavior: f(x)=x4−19x2−6x+72f\left(x\right)=x^4-19x^2-6x+72f(x)=x4−19x2−6x+72 As f(x) →\rightarrow→ _____, x →−∞x\ \rightarrow-\inftyx →−∞ As f(x) \rightarrow→ _____, x→∞x\rightarrow\inftyx→∞

f(x) = −x2(x−1)(x+3)2f\left(x\right)\ =\ -x^2\left(x-1\right)\left(x+3\right)^2f(x) = −x2(x−1)(x+3)2 What is the degree of the polynomial?

What is a possible equation for the polynomial in factored form?

Name all the roots of the polynomial function?

What is the numeric degree of the polynomial function?

f(x)= x2(x – 2)3(x – 7)Describe the graph at each x-intercept. Select ALL that apply.

What is the maximum number of turns of the following function?f(x) = 5x8 - 10x6 - 4x4 + 24?

Select ALL the statements that are true.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

$f\left(x\right)=x^4-19x^2-6x+72$ has what y-intercept?

Complete the statement about the end behavior: $f\left(x\right)=x^4-19x^2-6x+72$
As f(x) $\rightarrow$ _, $x\ \rightarrow-\infty$
As f(x) $\rightarrow$ _, $x\rightarrow\infty$

$f\left(x\right)\ =\ -x^2\left(x-1\right)\left(x+3\right)^2$
What is the degree of the polynomial?

f(x)= x²(x – 2)³(x – 7)

Describe the graph at each x-intercept. Select ALL that apply.

What is the maximum number of turns of the following function?
f(x) = 5x⁸- 10x⁶- 4x⁴+ 24?