Factoring Completely

Factor each expression completely.

For any multiple choice questions, the solution is the

expression that is factored completely, even though

several answers may be mathematically equivalent.

9y3 - y2 - y

9(y3 - y2 - y)

y(9y2 - y - 1)

1(9y3 - y2 - y)

y(9y2 - y - y)

y(9y2 - y)

Cannot be factored (prime)

6x2 + 21x + 15

(3x + 3)(2x + 5)

3(2x2 + 7x + 5)

(x + 1)(6x + 15)

3(x + 1)(2x + 5)

(x + 1)(2x + 5)

Cannot be factored (prime)

20x2 - 70x + 60

(x - 2)(2x - 3)

10(2x2 - 7x + 6)

10(x - 2)(2x - 3)

(10x - 20)(2x - 3)

(x - 2)(20x - 30)

Cannot be factored (prime)

12x3 + 32x2 + 16x

4(3x2 + 2x)(x2 + 2)

4x(3x2 + 8x + 4)

(3x + 2)(x + 2)

x(3x + 2)(4x + 8)

4x(3x + 2)(x + 2)

Cannot be factored (prime)

8x3 - 32x

8x(x - 2)(x + 2)

8x(x2 - 4)

8(x3 - 4x)

8(x2 - 2)(x + 2)

x(8x - 16)(x + 2)

Cannot be factored (prime)

2x2y + 3xy + y

y(2x2 + 3x + 1)

y(2x2 + 3x)

(2xy + y)(x + 1)

(2x + 1)(x + 1)

y(2x + 1)(x + 1)

Cannot be factored (prime)

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