What does the phrase "multiplicity of a zero" mean?

How many times the zero repeats

Find the sum of all the coefficients

Determine the end behavior of the graph of f(x) = -3x 3 + 2x - x 4 (Use desmos.com to graph the function.)

As x →∞, f(x) →-∞. As x→-∞, f(x) →-∞.

As x →∞, f(x) →∞. As x→-∞, f(x) →-∞.

As x →∞, f(x) →∞. As x→-∞, f(x) →∞.

As x →∞, f(x) →-∞. As x→-∞, f(x) →∞.

You may use your End Behavior Reference Sheet to answer this question: Which description best matches the function shown?

Even degree with positive leading coefficient.

Odd degree with positive leading coefficient.

Degree three, with negative leading coefficient.

Degree four, with negative leading coefficient.

What is the degree of this polynomial function? Is the leading coefficient positive or negative?

A quartic polynomial with a positive leading coefficient.

A quartic polynomial with a negative leading coefficient.

A cubic polynomial with a negative leading coefficient.

A cubic polynomial with a positive leading coefficient.

State the zeros of the polynomial (include multiplicity): f(x) = x(x+3) 2 (x - 2)

x = 0, -3 (multiplicity of 2), 2

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient. Identify the degree of the polynomial and the sign of the leading coefficient

Leading Coefficient Positive Degree - Odd

Leading Coefficient Positive Degree - Even

Leading Coefficient Negative Degree - Even

Leading Coefficient Negative Degree - Odd

Which statement is correct?

The zeros of this polynomial are 0, 2, and 5.

The solution 5 has a multiplicity of 2

The solution 1 has a multiplicity of 1

Describe the type of polynomial shown.

Even degree, positive leading coefficient

Even degree, negative leading coefficient

Odd degree, negative leading coefficient

Pick ALL statements that apply to this polynomial.

It has a negative leading coefficient.

It has a positive leading coefficient.

Select ALL statements that apply to this polynomial.

This is an even degree function.

The leading coefficient is positive.

This is an odd degree function.

The leading coefficient is negative.

Unit 3 Polynomial Functions Test

Authored by Suzanne Hendricks

Mathematics

11th - 12th Grade

CCSS covered

Used 12+ times

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50 questions

Show all answers

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For synthetic division, what would be the number in the left hand box?

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the degree of this polynomial? $f\left(x\right)=\left(x-3\right)^3\left(x-4\right)$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which function is graphed?

(x - 4)(x + 2)(x - 8)=0

(x - 4)(x - 2)(x + 8)=0

(x - 4)(x + 2)(x + 8)=0

(x + 4)(x + 2)(x + 8)=0

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the end behavior for
f(x)= -x³+2x+1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify: (5x+2)(x²-3x+6)

5x³- 17x²+24x +12

5x³+ 17x² - 24x +12

5x³ - 13x² + 24x +12

5x³ +13x² - 24x - 12

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the leading coefficient?

Positive

Negative

Odd

Even

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the degree?

Positive

Negative

Odd

Even

Tags

CCSS.HSA.APR.A.1

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Unit 3 Polynomial Functions Test

For synthetic division, what would be the number in the left hand box?