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Rational Root Theorem

Authored by Gregory Hunter

Mathematics

9th - 11th Grade

14 Questions

CCSS covered

Used 410+ times

Rational Root Theorem
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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x3 + 2x2 - 6x + 8

±1, ±8
±1, ±2, ±4, ±8
±1, ±2, ±4
1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x3 + 2x2 - 6x + 7

±1, ±7, ±1/3, ±7/3
±1, 7
±1, ±3, ±7, ±7/3
±1, ±3, ±7, ±1/3, ±7/3

Tags

CCSS.HSA.APR.B.3

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x3 + 5x2 - 9x + 5

±1, ±5, ±1/2, ±5/2
±1, ±2, ±5, ±1/2, ±5/2
±1, ±5
±1, ±2, ±5, ±1/2, ±5/2, ±2/5

Tags

CCSS.HSA.APR.B.2

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by using Rational Root Theorem: 
2x3 - 11x2 + 12x + 9 = 0

-1, 1, 3
-1, 3/2, 3 
-1/2, 3, 3
-1/2, 1, 3

Tags

CCSS.HSA.APR.B.2

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by using Rational Root Theorem: 
x3 - 7x - 6 = 0

1, 2, 3
-1, -2, - 3
-1, -2, 3
1,-2,-3

Tags

CCSS.HSA.APR.B.2

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)

3   0   -4   6   1
6   -4   3   1   0
6   -4   0   3   1
-6   4   0   -3   -1

Tags

CCSS.HSA.APR.D.6

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If you were dividing x6 + 4x3 + 2, how many 0's would you need when setting up the top row of your synthetic division?

0
2
4
6

Tags

CCSS.HSA.APR.D.6

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