Exploring Polynomials and Multiplicity

Exploring Polynomials and Multiplicity

11th Grade

14 Qs

quiz-placeholder

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Exploring Polynomials and Multiplicity

Exploring Polynomials and Multiplicity

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Anthony Clark

FREE Resource

14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

When setting up this synthetic division to divide 2x4 + 3x2 - x + 2 by (x - 1), what number goes into the red circle?

-1

1

2

cannot be determined

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Polynomial function f(x) =  x4 - 4x3 + 5x2 - 4x + 4 is known to have a zero of x = 2 with a multiplicity of 2. Does this mean (x - 2) divides the polynomial twice?

yes

no

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

(x - 2) divides polynomial function
 f(x) =  x4 - 4x3 + 5x2 - 4x + 4 two times.  What numbers should be used to set up the second synthetic division if the goal is to factor f(x)?

   -4   5   -4   4

   -2   1   -2

  -4   2   -4

cannot be determined

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

(x - 2) divides polynomial function
 f(x) =  x4 - 4x3 + 5x2 - 4x + 4 two times.  Which of these is a complete factorization of f(x)?

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

(x - 2)2 (x + 1)

(x - 2)2(x2 + 1)

cannot be determined

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the zeros of this polynomial and describe their multiplicity.
f(x) = 3x4 - 12x2

0 multiplicity 3, -2 multiplicity 1, 2 multiplicity 1

 -2 multiplicity 1, 2 multiplicity 1

0 multiplicity 2, -2 multiplicity 1, 2 multiplicity 1

3 multiplicity 4, -12 multiplicity 2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A polynomial factors as
f(x) = x3(x + 1)2(x - 4). List the zeros of f(x) and their multiplicity.

0 multiplicity 3, 1 multiplicity 2, -4 multiplicity 1

0 multiplicity 3, -1 multiplicity 2, 4 multiplicity 1

1 multiplicity 2, -4 multiplicity 1

-1 multiplicity 2, 4 multiplicity 1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When a polynomial function f(x) is divided by
 (x - 8), the remainder is 12. 
What is f(8)?

-8

8

12

cannot be determined

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