Rational Root Theorem and Fundamental Theorem of Algebra

Rational Root Theorem and Fundamental Theorem of Algebra

11th Grade

20 Qs

quiz-placeholder

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Rational Root Theorem and Fundamental Theorem of Algebra

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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