Factoring Polynomials by Grouping
Authored by Mrs Stauffer
Mathematics
10th - 11th Grade
CCSS covered
Used 38+ times
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8 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Factor by Grouping:
x³ + 7x² − 2x − 14
(x² − 2)(x − 7)
(x² + 2)(x − 7)
(x² + 2)(x + 7)
(x² − 2)(x + 7)
Tags
CCSS.HSA.SSE.A.2
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Factor by Grouping:
4y3 + 12y2 + y + 3
(4y + 3)(y + 3)
(4y + 3)(4y − 3)
(4y2 + 1)(y + 3)
(4y2 + 1)(y − 3)
Tags
CCSS.HSA.SSE.A.2
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Factor by Grouping:
4p³ + 8p² + 3p + 6
(2p² + 3)(p + 2)
(2p² + 6)(p + 4)
(4p² + 3)(p + 2)
(4p² + 8)(3p + 6)
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Factor the following expression:
4x3 − x2 + 16x − 4
(4x + 1)2(x + 4)
(x2 + 4)(4x − 1)
(x + 2)(x − 2)(4x − 1)
(2x + 1)(2x − 1)(4x − 1)
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the completely factored form of
d3 + 3d2 − 9d − 27 is
***Hint:
This is a factor by grouping AND dots
(d2 − 9)(d + 3)
(d2 + 9)(d + 3)
(d + 3)2 (d − 3)
(d − 3)2 (d + 3)
Tags
CCSS.HSA.APR.C.4
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Factor Completely:
2n3 + 7n2 − 2n − 7
**Hint:
Factor by grouping AND DOTS
(n − 1)2(2n + 7)
(n − 1)2(2n − 7)
(n + 1)(n − 1)(2n − 7)
(n + 1)(n − 1)(2n + 7)
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Factor Completely:
8x4 + 2x3 − 16x2 − 4x
**Hint:
Factor by GCF THEN grouping
2x2(4x + 1)(x − 2)
2x(4x + 1)(x2 − 2)
2x(x + 1)(x − 1)
2(x2 − 2)(4x − 1)
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.APR.A.1
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