Solving Polynomials Rational Root Theorem

Solving Polynomials Rational Root Theorem

11th Grade

15 Qs

quiz-placeholder

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Solving Polynomials Rational Root Theorem

Solving Polynomials Rational Root Theorem

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Barbara White

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

List all the possible rational zeros 
h(x) = x- 5x2+2x+12
1,2,3,4,6,12
1,2,6,12
1,2,3,4,6,12,-1,-2,-3,-4,-6,-12

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

List all possible rational zeros
f(x) = 3x5-5x2+x+6
1, 2, 3, 6, -1, -2, -3, -6
1/3,2/3,1,2,3,6,-1/3,-2/3,-1,-2,-3,-6
1/3,2/3,1,2,3,6

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

List all of the possible rational zeros 
p(x) = 3x2+x+7 
-1/3, -7/3, -1, -7, 1/3,7/3,1,7
1/3,7/3,1,7
1, 7, 14, 21

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

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

6.

MULTIPLE CHOICE QUESTION

1 min • 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

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

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