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

Quiz
•
Mathematics
•
11th Grade
•
Hard
Anthony Clark
FREE Resource
14 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
-1
1
2
cannot be determined
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
(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
(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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