Factoring Test Study Guide

Factor out the GCF of this equation:
6x⁴y⁴ – x³y +8x²
2x²(3x²y⁴- xy + 4)

Factor the perfect square trinomial of this equation:
9x² + 30x + 25
(3x+5)²

Factor the difference of two squares of this equation:
16y⁴ – 9x²
(4y² + 3x) (4y² – 3x)

Factor this trinomial:
X² + 4x – 12
(X + 6) (X – 2)

Factor this trinomial:
3y² – 14y – 24
(3y + 4) (y – 6)

Factor by grouping:
2x³ + 6x² + x + 3
(X+3)(2x²+1)

Factor completely:
2x² – 128
2(x+8)(x-8)

Factor completely:
x³ – 18x² + 81x
x(x-9)²

Factor completely:
x² – 5x
x(x-5)

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m⁴ + 8m³ + 8m² + 64m
m(m + 8)(m² + 8)

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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