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Algebra III Review "Descartes Rule of Signs/Rational Roots"

Authored by Rodney Nobles

Mathematics

9th - 12th Grade

CCSS covered

Used 2+ times

Algebra III Review "Descartes Rule of Signs/Rational Roots"
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20 questions

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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.2

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

According to the Rational Root Theorem, what are the all possible rational roots? 
2x3 - 11x2 + 12x + 9 = 0

±1,±2
±1,±3,±9
±1,±3±9,±1/2,±3/2,±9/2
±1,±2,±1/3,±2/3,±1/9,±2/9

7.

MULTIPLE CHOICE QUESTION

15 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

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