Rational Root Theorem

Rational Root Theorem

11th - 12th Grade

7 Qs

quiz-placeholder

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Rational Root Theorem

Rational Root Theorem

Assessment

Quiz

Other

11th - 12th Grade

Practice Problem

Medium

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

Standards-aligned

Created by

Joseph Daly

Used 7+ times

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 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

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: Hint- remember your placeholder!

x3 - 7x - 6 = 0

1, 2, 3

-1, -2, - 3

-1, -2, 3

1,-2,-3

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

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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