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Factoring out GCF (Finding factors)

Authored by Shane Davis

Mathematics

9th - 10th Grade

CCSS covered

Used 937+ times

Factoring out GCF  (Finding factors)
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12 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor out the GCF


3x3 + 9x

3x (x2 + 3)

3x ( x3 + 9)

x (3x2 + 9)

3x (x3 + 3x)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the factors

 24m4n2  16m3n324m^4n^2\ -\ 16m^3n^3  

 4m3n2(6m  4n)4m^3n^2\left(6m\ -\ 4n\right)  

 8mn (3m4n2  2m3n3)8mn\ \left(3m^4n^2\ -\ 2m^3n^3\right)  

 8m3n2 (3m  2n)8m^3n^2\ \left(3m\ -\ 2n\right)  

 8m3n2 (3mn  2mn)8m^3n^2\ \left(3mn\ -\ 2mn\right)  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find ALL the factors

 12x10y5 + 8x7y212x^{10}y^5\ +\ 8x^7y^2  

 (3x3y3 + 2)\left(3x^3y^3\ +\ 2\right)  

 4x7y2 (3x3y3 + 2)4x^7y^2\ \left(3x^3y^3\ +\ 2\right)  

 4x7y2 (8x3y3 + 4)4x^7y^2\ \left(8x^3y^3\ +\ 4\right)  

 4x7y2 ( 3x17y7 + 2xy)4x^7y^2\ \left(\ 3x^{17}y^7\ +\ 2xy\right)  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor completely.

 36ab + 20bc36ab\ +\ 20bc  

 4b (9a + 5c)4b\ \left(9a\ +\ 5c\right)  

 2b(18a + 10c)2b\left(18a\ +\ 10c\right)  

 4abc (9a + 5c)4abc\ \left(9a\ +\ 5c\right)  

 4 (9ab + 5bc)4\ \left(9ab\ +\ 5bc\right)  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 9m2n + 3mn + 6mn59m^2n\ +\ 3mn\ +\ 6mn^5  

 3mn (3m + mn + 2n4)3mn\ \left(3m\ +\ mn\ +\ 2n^4\right)  

 3mn(3m + 2n4)3mn\left(3m\ +\ 2n^4\right)  

 3mn (3n + 1 + 2m4)3mn\ \left(3n\ +\ 1\ +\ 2m^4\right)  

 3mn (3m + 1 + 2n4)3mn\ \left(3m\ +\ 1\ +\ 2n^4\right)  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor completely

 4a3b5  18a2b3 + 8a3b34a^3b^5\ -\ 18a^2b^3\ +\ 8a^3b^3  

 2a2b3 (2ab2  9ab + 4ab2)2a^2b^3\ \left(2ab^2\ -\ 9ab\ +\ 4ab^2\right)  

 2a2b3 (2ab2  9 + 4a)2a^2b^3\ \left(2ab^2\ -\ 9\ +\ 4a\right)  

 4a2b3 (ab2  14 + 6a)4a^2b^3\ \left(ab^2\ -\ 14\ +\ 6a\right)  

 2ab (2a2b3  9ab + 4ab)2ab\ \left(2a^2b^3\ -\ 9ab\ +\ 4ab\right)  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 18x3 + 81x 2718x^3\ +\ 81x\ -27 

Find all factors.

 18(x3 + 4x  2)18\left(x^3\ +\ 4x\ -\ 2\right)  

 3(9x3 +27x  9 )3\left(9x^3\ +27x\ -\ 9\ \right)  

 9(2x3 + 9x  3)9\left(2x^3\ +\ 9x\ -\ 3\right)  

 9x(2x2 + 9x 3)9x\left(2x^2\ +\ 9x\ -3\right)  

Tags

CCSS.HSA.APR.B.2

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