Factoring out GCF (Finding factors)
2 years ago
shanevb2
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  • Question 1
    120 seconds
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    Q.

    Factor out the GCF


    3x3 + 9x

    answer choices

    3x (x2 + 3)

    3x ( x3 + 9)

    x (3x2 + 9)

    3x (x3 + 3x)

  • Question 2
    120 seconds
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    Q.

    Find the factors

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

    answer choices

     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)  

  • Question 3
    120 seconds
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    Q.

    Find ALL the factors

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

    answer choices

     (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)  

  • Question 4
    120 seconds
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    Q.

    Factor completely.

     36ab + 20bc36ab\ +\ 20bc  

    answer choices

     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)  

  • Question 5
    120 seconds
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    Q.

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

    answer choices

     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)  

  • Question 6
    120 seconds
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    Q.

    Factor completely

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

    answer choices

     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)  

  • Question 7
    120 seconds
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    Q.

     18x3 + 81x 2718x^3\ +\ 81x\ -27 

    Find all factors.

    answer choices

     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)  

  • Question 8
    120 seconds
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    Q.

    Factor completely


    45xy + 15x3y + 10y

    answer choices

    5y (9xy + 3x2 + 2y)

    5xy (9 + 3x2 + 2)

    5x (9y + 3xy + 2)

    5y (9x + 3x3 + 2)

  • Question 9
    120 seconds
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    Q.

     21x4y3 + 30x5y4 + 18x3y621x^4y^3\ +\ 30x^5y^4\ +\ 18x^3y^6  Factor completely

    answer choices

     3xy (7x + 10x2y + 6y3)3xy\ \left(7x\ +\ 10x^2y\ +\ 6y^3\right)  

     3x3y3 (7y + 10xy2 + 6y3)3x^3y^3\ \left(7y\ +\ 10xy^2\ +\ 6y^3\right)  

     3x3y3 (7x + 10x2y + 6y3)3x^3y^3\ \left(7x\ +\ 10x^2y\ +\ 6y^3\right)  

     3x3y3 ( 24x + 33x2y + 21y3)3x^3y^3\ \left(\ 24x\ +\ 33x^2y\ +\ 21y^3\right)  

  • Question 10
    120 seconds
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    Q.

    Factor Completely


     12a3b2  18a4b3 + 36a2b412a^3b^2\ -\ 18a^4b^3\ +\ 36a^2b^4  

    answer choices

     6a2b2 (2b  3ab2 6a2)6a^2b^2\ \left(2b\ -\ 3ab^2\ 6a^2\right)  

     6a2b2 (2a  3a2b + 6b2)6a^2b^2\ \left(2a\ -\ 3a^2b\ +\ 6b^2\right)  

     3a2b2 (4a  9a2b + 12b2)3a^2b^2\ \left(4a\ -\ 9a^2b\ +\ 12b^2\right)  

     (2a  3a2b + 6b2)\left(2a\ -\ 3a^2b\ +\ 6b^2\right)  

  • Question 11
    120 seconds
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    Q.

     (4x + 6)(2x  8)\left(4x\ +\ 6\right)\left(2x\ -\ 8\right)  

    Find the product of the given factors.

    answer choices

     8x2 20x  488x^2\ -20x\ -\ 48  

     8x2 44x  488x^2\ -44x\ -\ 48  

     8x2 +20x + 488x^2\ +20x\ +\ 48  

     8x220x + 488x^2-20x\ +\ 48  

  • Question 12
    120 seconds
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    Q.

     5x2 (4x2  2x + 3)5x^2\ \left(4x^2\ -\ 2x\ +\ 3\right)  


    Find the product of the following factors.

    answer choices

     20x4  10x3 + 15x220x^4\ -\ 10x^3\ +\ 15x^2  

     20x4 10x2 + 15x20x^4\ -10x^2\ +\ 15x  

     20x4 +10x3 + 15x220x^4\ +10x^3\ +\ 15x^2  

     9x4 3x2 +8x9x^4\ -3x^2\ +8x  

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