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Algebra III: Rational Roots Theorem

Authored by Rodney Nobles

Mathematics

9th - 12th Grade

CCSS covered

Used 9+ times

Algebra III: Rational Roots Theorem
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 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

5 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

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

According to the Rational Root Theorem, what are the all possible rational roots?

x5 - 11x3 + 2x + 9 = 0

±1

±1,±3,±9

±1,±9

±1,±3, ±9,±1/3,±1/9

Tags

CCSS.HSA.APR.B.3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve by using Rational Root Theorem: 
x3 + 3x2 - 6x - 8 = 0

 -4, -1, 2
-4, -1, ±√2
1, 2, 4
4,-1,√2

Tags

CCSS.HSF-IF.C.7C

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

1/5

5

5/3

1

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