rational root theorem

rational root theorem

9th - 12th Grade

12 Qs

quiz-placeholder

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rational root theorem

rational root theorem

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSA.APR.B.2, HSA.APR.B.3, HSA.APR.D.6

+1

Standards-aligned

Created by

Nasreen Sultana

Used 67+ times

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12 questions

Show all answers

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.3

3.

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

4.

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

5.

MULTIPLE CHOICE QUESTION

15 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

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

            Is (x-2) a factor of             f(x)= x3-8x2+14x-4?

Yes, (x-2) is a factor. There is a remainder.
No, (x-2) is  not a factor. The remainder is zero.
Yes, (x-2) is a factor. The remainder is zero.
No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

7.

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

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