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Rational Root Theorem and Zeros

Authored by Alicia McCutcheon

Mathematics

10th - 11th Grade

CCSS covered

Rational Root Theorem and Zeros
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 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

2.

MULTIPLE CHOICE QUESTION

1 min • 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

5 mins • 1 pt

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x3 + 2x2 - 11x - 12

-3
-4
1
6

Tags

CCSS.HSF-IF.C.7C

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve by using Rational Root Theorem: 
x3 - 7x - 6 = 0

1, 2, 3
-1, -2, - 3
-1, -2, 3
1,-2,-3

Tags

CCSS.HSA.APR.B.2

5.

MULTIPLE CHOICE QUESTION

5 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.HSF-IF.C.7C

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The largest exponent determines the degree of the polynomial.

True
False

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The degree of the polynomial determines the number of roots.

True
False

Tags

CCSS.HSN.CN.C.9

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