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

3x (x2 + 3)

3x ( x3 + 9)

x (3x2 + 9)

3x (x3 + 3x)

• Question 2
120 seconds
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Q.

Find the factors

$24m^4n^2\ -\ 16m^3n^3$

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

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

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

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

• Question 3
120 seconds
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Q.

Find ALL the factors

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

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

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

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

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

• Question 4
120 seconds
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Q.

Factor completely.

$36ab\ +\ 20bc$

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

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

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

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

• Question 5
120 seconds
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Q.

$9m^2n\ +\ 3mn\ +\ 6mn^5$

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

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

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

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

• Question 6
120 seconds
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Q.

Factor completely

$4a^3b^5\ -\ 18a^2b^3\ +\ 8a^3b^3$

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

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

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

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

• Question 7
120 seconds
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Q.

$18x^3\ +\ 81x\ -27$

Find all factors.

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

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

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

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

• Question 8
120 seconds
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Q.

Factor completely

45xy + 15x3y + 10y

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.

$21x^4y^3\ +\ 30x^5y^4\ +\ 18x^3y^6$  Factor completely

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

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

$3x^3y^3\ \left(7x\ +\ 10x^2y\ +\ 6y^3\right)$

$3x^3y^3\ \left(\ 24x\ +\ 33x^2y\ +\ 21y^3\right)$

• Question 10
120 seconds
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Q.

Factor Completely

$12a^3b^2\ -\ 18a^4b^3\ +\ 36a^2b^4$

$6a^2b^2\ \left(2b\ -\ 3ab^2\ 6a^2\right)$

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

$3a^2b^2\ \left(4a\ -\ 9a^2b\ +\ 12b^2\right)$

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

• Question 11
120 seconds
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Q.

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

Find the product of the given factors.

$8x^2\ -20x\ -\ 48$

$8x^2\ -44x\ -\ 48$

$8x^2\ +20x\ +\ 48$

$8x^2-20x\ +\ 48$

• Question 12
120 seconds
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Q.

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

Find the product of the following factors.

$20x^4\ -\ 10x^3\ +\ 15x^2$
$20x^4\ -10x^2\ +\ 15x$
$20x^4\ +10x^3\ +\ 15x^2$
$9x^4\ -3x^2\ +8x$