Rational Root Theorem Possible Roots

Rational Root Theorem Possible Roots

11th Grade

20 Qs

quiz-placeholder

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Rational Root Theorem Possible Roots

Rational Root Theorem Possible Roots

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Barbara White

FREE Resource

20 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

3 mins • 1 pt

The largest exponent determines the degree of the polynomial.
True
False

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The degree of the polynomial determines the number of roots.
True
False

7.

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

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