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Remainder and Factor Theorems, Sum and Diff of Cubes

Mathematics

9th - 11th Grade

CCSS covered

Used 7+ times

Remainder and Factor Theorems, Sum and Diff of Cubes
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15 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Is (x-4) a factor of (x3 +x2 -16x-16)?

YES
NO

Tags

CCSS.HSA.APR.B.2

2.

MULTIPLE CHOICE QUESTION

3 mins • 12 pts

Media Image

Is (x-3) a factor of
(x- 3x+ 2x + 2)?

Yes
No

Tags

CCSS.HSA.APR.B.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What is the proper way to write the answer for the following problem? Each term of the original polynomial is represented in the table.

2x3-x2-25x-12

2x4-x3-25x2-12x+0

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find all the factors of   x3 -3x2 -4x +12 given that -2 is a zero.

(x-2) (x+2) (x+3) 
(x-2) (x-2) (x+3)
(x+2) (x+2) (x+3)
(x-2) (x+2) (x-3)

Tags

CCSS.HSA.APR.B.2

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find all the real zeros of the function 
f(x) = 2x3 - 19x2 + 38x + 24 given that x-4 is a factor.

x = 1/2, -6
x = -1/2, 6
x = 4, -1/2, 6
x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find all the zeros, given that f(-3) = 0
f(x) = 2x3+5x2-6x-9

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

Tags

CCSS.HSF-IF.C.7C

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor:  27x3 + 8

(3x + 2)(9x2 - 6x + 4)
(9x + 2)(3x2 + 18x + 4)
(3x2+4)(9x + 2)
(27x + 8)(x2 - 216x + 64)

Tags

CCSS.HSA.APR.C.4

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