Quadratic Factoring

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Tags

CCSS.HSA.SSE.A.2

Factor by grouping

9x² - 12x + 6x - 8

• (3x+2)(3x-4)

• (3x+2)(3x+4)

• (3x-2)(3x-4)

• (x-1)(9x+8)

Tags

CCSS.HSA.SSE.A.2

x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Tags

CCSS.HSA.SSE.A.2

• (2x + 7)(2x + 7)

• (2x + 7)(2x - 7)

• (2x - 7)(2x - 7)

• (4x + 7)(4x - 7)

Tags

CCSS.HSA.APR.C.4

What are the steps, in order, to factoring a quadratic expression of the form

ax² + bx + c ?

• List the factors of a; find two numbers that add up to b; split the middle term and factor by grouping

• Multiply a and c; find two numbers that add up to b and multiply to ac; split the middle term and factor by grouping

• Write the two factors as a product of binomials; split the middle term; simplify

• Find two number that add up to b; factor all terms; combine like terms

Factoring is the opposite of

• Quadratic

• Expansion

• GCF

• Trinomial

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

Factor:
x² - 14x + 24

• (x - 8)(x - 3)
• (x - 12)(x - 2)
• (x - 6)(x - 4)
• (x - 24)(x - 1)

Factor:  3x² - 5x - 2

• (3x + 1)(x - 2)
• (3x + 2)(x - 1)
• (3x - 1)(x + 2)
• (3x - 2)(x + 1)

Factor:  6x² + 9x

• (6x + 1)(x + 3)
• (3x + 1)(2x + 3)
• 3x(2x + 3)
• 6x(x + 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3