Rational Root Theorem

Rational Root Theorem

10th - 12th Grade

7 Qs

quiz-placeholder

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Rational Root Theorem

Rational Root Theorem

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Medium

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

Standards-aligned

Created by

Emily Carter

Used 45+ times

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7 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.2

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.2

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

15 mins • 1 pt

Name all the p factors for the function:
 f(x)=9x3+8x+14f\left(x\right)=9x^3+8x+14  

 ±1,3,9\pm1,3,9  

 ±1,2,7,14\pm1,2,7,14  

 ±1,2,4,8\pm1,2,4,8  

 ±1,2,3,7,9,14\pm1,2,3,7,9,14  

Tags

CCSS.HSF-IF.C.7C

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Name all the q-factors for:
 g(x)=12x215x7g\left(x\right)=12x^2-15x-7  

 1,7-1,-7  

 1,2,3,4,6,12-1,-2,-3,-4,-6,-12  

 ±1,7\pm1,7  

 ±1,2,3,4,6,12\pm1,2,3,4,6,12  

Tags

CCSS.HSA.APR.B.2

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find all the p/q factors for:
 f(x)=2x43x3+5x+25f\left(x\right)=2x^4-3x^3+5x+25  

 ±1,5,25,12,52,252\pm1,5,25,\frac{1}{2},\frac{5}{2},\frac{25}{2}  

 ±1,2,15,25,125,225\pm1,2,\frac{1}{5},\frac{2}{5},\frac{1}{25},\frac{2}{25}  

 ±1,5,25\pm1,5,25  

 ±1,2\pm1,2  

Tags

CCSS.HSF-IF.C.7C