The Rational Root Theorem

The Rational Root Theorem

11th Grade

13 Qs

quiz-placeholder

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The Rational Root Theorem

The Rational Root Theorem

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSA.APR.B.2, HSF-IF.C.7C

Standards-aligned

Created by

Anthony Clark

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 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

1 min • 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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

(x + 4) (x + 1) (x - 2)

(x + 4) (x + 1) (x + √2) (x - √2)

(x - 1) (x - 2) (x - 4)

(x - 4) (x + 1) (x - √2)

Tags

CCSS.HSA.APR.B.2

4.

MULTIPLE CHOICE QUESTION

1 min • 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

5.

MULTIPLE CHOICE QUESTION

1 min • 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

1 min • 1 pt

Solve by using Rational Root Theorem:
x4 - x3 + 2x2 - 4x - 8 = 0

-1, 2, ±2

-1, 2, ±2i

1, -2, 4

1, 2, 2i

7.

MULTIPLE CHOICE QUESTION

1 min • 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

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