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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

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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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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