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Factoring by GCF/Factoring by Grouping

Authored by Kerri Donovan

Mathematics

9th - 12th Grade

CCSS covered

Used 7+ times

Factoring by GCF/Factoring by Grouping
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factoring using GCF: 3x212x3x^2-12x  

 4x(3)4x\left(-3\right)  

 4(x23x)4\left(x^2-3x\right)  

 4x(x3)4x\left(x-3\right)  

 3(x24)3\left(x^2-4\right)  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Factor by Grouping: 5x4+20x3+6x+245x^4+20x^3+6x+24  

 (x+4)(5x3+6)\left(x+4\right)\left(5x^3+6\right)  

 (x+4)(5x)\left(x+4\right)\left(5x\right)  

 (x+4)(5x+6)\left(x+4\right)\left(5x+6\right)  

 (5x3+6)\left(5x^3+6\right)  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factoring using GCF: 4x5y4x-5y  

4(x-5y)

5(y+4x)

6

GCF: 1, Can't Factor

Tags

CCSS.7.EE.A.1

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Factor by Grouping: 2w3+w214w72w^3+w^2-14w-7  

 (2w+1)(w7)\left(2w+1\right)\left(w-7\right)  

 w(w27)w\left(w^2-7\right)  

 (2w+1)(w27)\left(2w+1\right)\left(w^2-7\right)  

 (2w+1)(2w7)\left(2w+1\right)\left(2w-7\right)  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factoring using GCF: 3x312x2+15x3x^3-12x^2+15x  

 3x(x24x+3)3x\left(x^2-4x+3\right)  

 3x(x212x+15)3x\left(x^2-12x+15\right)  

 3x(x4)3x\left(x-4\right)  

 x(3x212x+15)x\left(3x^2-12x+15\right)  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Factor by Grouping: 3m3+12m2+5m+203m^3+12m^2+5m+20  

 (m+4)(m+5)\left(m+4\right)\left(m+5\right)  

 (m+4)(6m+5)\left(m+4\right)\left(6m+5\right)  

 m(3m2+5)m\left(3m^2+5\right)  

 (m+4)(3m2+5)\left(m+4\right)\left(3m^2+5\right)  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factoring using GCF: 6m312m224m6m^3-12m^2-24m  

 6(m32m24m)6\left(m^3-2m^2-4m\right)  

 6m(m22m4)6m\left(m^2-2m-4\right)  

 m(m24)m\left(m^2-4\right)  

 6m(m22)6m\left(m^2-2\right)  

Tags

CCSS.6.EE.A.3

CCSS.6.NS.B.4

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