Rational Root Theorem

Rational Root Theorem

11th Grade

25 Qs

quiz-placeholder

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Rational Root Theorem

Rational Root Theorem

Assessment

Quiz

Mathematics

11th Grade

Hard

CCSS
HSA.APR.B.3, HSA.APR.B.2

Standards-aligned

Created by

C Owen

Used 1+ times

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25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 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.3

2.

MULTIPLE CHOICE QUESTION

15 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

15 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.3

4.

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

Tags

CCSS.HSA.APR.B.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 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.HSA.APR.B.2

CCSS.HSA.APR.B.3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x3 - 8x2 - 23x + 30

3

-1

-10

1

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

7.

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.3

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