Rational Root Theorem Possible Roots

Rational Root Theorem Possible Roots

11th Grade

20 Qs

quiz-placeholder

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Rational Root Theorem Possible Roots

Rational Root Theorem Possible Roots

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7C, HSA.APR.B.2, HSA-SSE.B.3B

+1

Standards-aligned

Created by

Anthony Clark

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20 questions

Show all answers

1.

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

2.

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

3.

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

4.

MULTIPLE CHOICE QUESTION

1 min • 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

5.

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x3 + 2x2 - 11x - 12

-3

-4

1

6

Tags

CCSS.HSF-IF.C.7C

7.

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

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