Factoring and Factorization

Factor:
2n³+16n+12

• 2n(n³+24n+6)

• 2(n³+8n+6)

• 2n(n³+8n+6)

• 3(n³+8n+6)

Factor:
10a⁴+16a+10a²

• 2a(5a³⁺8+5a)

• 2a⁴(5a+8a²+5a³)

• 2a⁴(10+16a+40a²)

• 3a³(5+8a+a²)

Factor
10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Find the prime factorization of 120.

• 3 x  5 x  8

• 2³ x 3 x  5

• 2² x  3 x  5

• 2  x  3²  x  5

Find the GCF of 64 and 144

• 8

• 6

• 16

• 2

39y⁵ + 12y⁴ - 3y³

• 3y(13y⁴ + 4y³ - y²)

• 3y³(13y² + 4y - 1)

• y³(39y² + 12y - 3)

63x⁴ - 7x² + 28x

• 7x(9x² - 7 + 4x)

• x(63x³ - 7x + 28)

• 7x(9x³ - x + 4)

• GCF (Greatest Common Factor) with Prime Factorization

• Prime Factorization

• Pattern for Sum and Difference of Two Squares

• Patterns for Perfect Square Trinomials

• Steps for factoring a general trinomial

• Patterns for a perfect square trinomial

• Pattern for sum and difference of two squares

• GCF with Prime Factorization