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Rational Root Theorem Zeros to Functions Descartes Rule of Signs

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Used 2+ times

Rational Root Theorem Zeros to Functions Descartes Rule of Signs
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

According to Descartes' Rule of Signs, how can you determine the number of possible positive real roots of a polynomial?

By counting the number of sign changes in the polynomial’s coefficients

By solving the polynomial for x=0

By factoring the polynomial into linear factors

By analyzing the degree of the polynomial

2.

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

Tags

CCSS.HSA.APR.B.2

3.

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.2

4.

MULTIPLE CHOICE QUESTION

1 min • 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

1 min • 1 pt

List all the possible rational zeros
h(x) = x3 - 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

Tags

CCSS.HSF-IF.C.7C

6.

MULTIPLE CHOICE QUESTION

1 min • 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

Tags

CCSS.HSA.APR.B.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

List all possible rational zeros

f(x) = 3x5-5x2+x+6

±1, ±2, ±3, ±6

±1/3, ±2/3, ±1, ±2, ±3, ±6

±1/3, ±2/3, ±1, ±2, ±3, ±6

Tags

CCSS.HSA.APR.B.2

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