Factoring Polynomials & Solving Quadratics

If FOIL is multiplying, FACTORING is __________

• Dividing

• Adding

• Multiplying

• Subtract

• Taking away

When factoring a trinomial, you find two numbers that ______to equal the middle number, and ________ to equal the last number

Find the factors of

x² - 5x - 36

• (x + 4)(x - 9)

• (x - 4)(x + 9)

• (x - 9)(x + 6)

• (x + 4)(x + 9)

Factor
3x² + 17x + 10

• (3x-2)(x-5)
• (3x+2)(x+5)
• (3x-5)(x-2)
• (3x+5)(x+2)

Factor:

2m² + 3m - 9

• (2m - 1)(m + 9)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor the Trinomial

**Don't forget to look for GCF**

Which of the following is a difference of perfect squares?

• x² - 18
• 4x² + 36 
• 9x² - 100
• x² + 4

Tags

CCSS.HSA.APR.C.4

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Prime

Tags

CCSS.HSA.APR.C.4