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Factoring By Grouping

Authored by Jordan Reynolds

Mathematics

9th - 12th Grade

CCSS covered

Used 339+ times

Factoring By Grouping
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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Factor by grouping:
 x34x24x+16x^3-4x^2-4x+16  

 (x+4)(x+2)\left(x+4\right)\left(x+2\right)  

 (x4)(x24)\left(x-4\right)\left(x^2-4\right)  

 (x+4)(x24)\left(x+4\right)\left(x^2-4\right)  

 (x4)(x2)\left(x-4\right)\left(x-2\right)  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Factor by grouping:

 4p3+8p2+3p+64p^3+8p^2+3p+6  

 (2p2+3)(p+2)\left(2p^2+3\right)\left(p+2\right)  

 (2p2+6)(p+4)\left(2p^2+6\right)\left(p+4\right)  

 (4p2+3)(p+2)\left(4p^2+3\right)\left(p+2\right)  

 (4p2+8p)(3p+6)\left(4p^2+8p\right)\left(3p+6\right)  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Factor by grouping:

 x3+7x22x14x^3+7x^2-2x-14  

 (x22)(x7)\left(x^2-2\right)\left(x-7\right)  

 (x2+2)(x+7)\left(x^2+2\right)\left(x+7\right)  

 (x2+2)(x7)\left(x^2+2\right)\left(x-7\right)  

 (x22)(x+7)\left(x^2-2\right)\left(x+7\right)  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the factored form of 5n310n2+3n65n^3-10n^2+3n-6  ?

 (5n2+3)(n2)\left(5n^2+3\right)\left(n-2\right)  

 (5n23)(n2)\left(5n^2-3\right)\left(n-2\right)  

 (5n3+3)(n2)\left(5n^3+3\right)\left(n-2\right)  

 10n(n26)10n\left(n^2-6\right)  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

5.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Which of the following would be part of the factored form of  x32x2+5x+10x^3-2x^2+5x+10  ?

 (x2)\left(x-2\right)  

 (x+2)\left(x+2\right)  

 (x2+5)\left(x^2+5\right)  

 (x25)\left(x^2-5\right)  

Tags

CCSS.HSA.APR.B.2

6.

FILL IN THE BLANK QUESTION

15 mins • 1 pt

 If I were to factor  6n3+3n2+8n+46n^3+3n^2+8n+4  by grouping, my answer would look like  (3n2+4)\left(3n^2+4\right)  times what other binomial?

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Factor by grouping:
 x35x2+5x25x^3-5x^2+5x-25  

 (x25)(x5)\left(x^2-5\right)\left(x-5\right)  

 (x2+5)(x5)\left(x^2+5\right)\left(x-5\right)  

 (x25)(x+5)\left(x^2-5\right)\left(x+5\right)  

 (x2+5)(x+5)\left(x^2+5\right)\left(x+5\right)  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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