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Polynomial zeros and factors

Authored by Alexander Tate

Mathematics

9th - 12th Grade

CCSS covered

Used 83+ times

Polynomial zeros and factors
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9 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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

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.2

CCSS.HSA.APR.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x3 + 5x2 - 9x + 5

±1, 5, 1/2, 5/2
±1, 2, 5, 1/2, 5/2
±1, 5
±1, 2, 5, 1/2, 5/2, 2/5

Tags

CCSS.HSA.APR.B.2

4.

MULTIPLE CHOICE QUESTION

2 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 - 8x2 - 23x + 30

3
-1
-10
1

Tags

CCSS.HSF-IF.C.7C

5.

MULTIPLE CHOICE QUESTION

2 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

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

            Is (x-2) a factor of             f(x)= x3-8x2+14x-4?

Yes, (x-2) is a factor. There is a remainder.
No, (x-2) is  not a factor. The remainder is zero.
Yes, (x-2) is a factor. The remainder is zero.
No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for the values of x:
(x - 3)(x + 6) = 0

{ -3, -6 }
{ 3, -6 }
{ -3, -6 }
{ 3, 6 }

Tags

CCSS.HSA-REI.B.4B

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