Factoring Types

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

Tags

CCSS.HSA.APR.C.4

Factor
10x² + 15x-5

• 25(10x³+45x-15)
• 5(2x³ + 3x²-x)
• x(10x³+15x-5)
• 5(2x²+3x-1)

Factor
4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)
• 4b³(b⁴+4b+5)
• 4(b⁵+b³+4b²)
• 4b²(b³+b+4)

Factor:  x² - 16x + 24

• (x + 2)(x - 14)
• (x - 2)(x - 14)
• (x + 14)(x - 2)
• (x - 4)(x - 6)

Factor:  x² - 2x - 24

• (x + 6)(x - 4)
• (x + 4)(x - 6)
• (x - 4)(x - 6))
• (x - 3)(x + 8)

Factor:  x² + 13x + 30

• (x + 3)(x + 10)
• (x + 5)(x + 6)
• (x + 2)(x + 15)
• (x + 1)(x + 30)

p² − 5p − 14

• ( p + 2)( p + 7)

• ( p + 2)( p − 7)

• ( p - 2)( p − 7)

• ( p - 2)( p + 7)

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

GCF of 10 and 50

• 10
• 2
• 5
• 50