Synthetic Division and Polynomial Evaluation
Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in synthetic division when dividing a polynomial by x + 3?
Set x - 3 equal to 1
Set x - 3 equal to 0
Set x + 3 equal to 0
Set x + 3 equal to 1
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In synthetic division, what do you do after bringing down the first coefficient?
Add it to the divisor
Multiply it by the divisor
Subtract it from the divisor
Divide it by the divisor
Tags
CCSS.HSA.APR.B.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When dividing x^3 + x^2 - 2x - 8 by x - 2, what is the remainder?
2
0
4
8
Tags
CCSS.HSA.APR.D.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the quotient when dividing x^3 + 5x^2 - 3x + 4 by x - 3 using synthetic division?
x^2 + 8x + 4
x^2 + 3x + 4
x^2 + 5x + 4
x^2 + 8x + 21
Tags
CCSS.HSA.APR.D.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the remainder expressed when it is not zero in synthetic division?
As a fraction over the divisor
As a whole number
As a decimal
As a negative number
Tags
CCSS.HSF.IF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using synthetic division to evaluate a polynomial function?
To evaluate the function at a specific value
To find the roots of the polynomial
To determine the degree of the polynomial
To simplify the polynomial
Tags
CCSS.HSF.IF.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the polynomial 2x^3 - 3x^2 + 5x - 8 at x = 4 using synthetic division?
92
80
100
64
Tags
CCSS.HSA.APR.B.2
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