## Factoring Test Study Guide

Factor out the GCF of this equation:

6x⁴y⁴ – x³y +8x²

6x⁴y⁴ – x³y +8x²

2x²(3x²y⁴- xy + 4)

Factor the perfect square trinomial of this equation:

9x² + 30x + 25

9x² + 30x + 25

(3x+5)²

Factor the difference of two squares of this equation:

16y⁴ – 9x²

16y⁴ – 9x²

(4y² + 3x) (4y² – 3x)

Factor this trinomial:

X² + 4x – 12

X² + 4x – 12

(X + 6) (X – 2)

Factor this trinomial:

3y² – 14y – 24

3y² – 14y – 24

(3y + 4) (y – 6)

Factor by grouping:

2x³ + 6x² + x + 3

2x³ + 6x² + x + 3

(X+3)(2x²+1)

Factor completely:

2x² – 128

2x² – 128

2(x+8)(x-8)

Factor completely:

x³ – 18x² + 81x

x³ – 18x² + 81x

x(x-9)²

Factor completely:

x² – 5x

x² – 5x

x(x-5)

x⁴ + 9

Not Factorable

45 – 3x – 6x²

3(3+X)(5-2x)

x² – 10x + 25

(x – 5)²

8y² – 18y – 5

(4y + 1) (2y – 5)

2x² – 11x + 12

(2x – 3) (x-4)

a⁴ – 2a² + 1

(a + 1)² (a-1)²

10x² + 28x – 48

2(5x – 6)(x+4)

8x – 1

(X⁴+1)(X²+1)(X+1)(X-1)

y⁵ – 8y⁴ + 15y³

y³(y-5)(y-3)

12x³y² – 6x²y + 4x²y² – 2xy

2xy(2xy – 1)(3x + 1)

4y⁴ – 8y³ + 6y²

2y²(2y² – 4y +3)

49x² – 84x + 36

(7x – 6)²

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