8.7 – Factoring ax2 + bx + c (when a ≠1)

Multiple-Choice Warm Up 1. 2. 3. 4.

Factor x² + 7x +6 (x+6)(x+1)

What is different? 2x² + 7x +6

STEPS for ax² +bx + c Multiply the a and c term. With new c value, factor using the x-chart. Divide by a. Simplify. If it does NOT divide, you slide! Check!

PRACTICE…1 5 𝑥 2 −6𝑥+1 (x - 1)(5x - 1)

PRACTICE…2 6 𝑦 2 −𝑦−5 (y - 1)(6y + 5)

PRACTICE…3 4 𝑛 2 +16𝑛+15 (2n + 3)(2n + 5)

PRACTICE…4 3 𝑞 2 −8𝑞−3 (q - 3)(3q + 1)

PRACTICE…5 6 𝑟 2 −5𝑟−4 (3r - 4)(3r + 1)

PRACTICE…6 𝑟 2 −3𝑟−4 (r - 4)(r + 1)

PRACTICE…7 2 𝑐 2 −7𝑐+3 (c - 3)(2c - 1)

PRACTICE…8 3 𝑥 2 −7𝑥+1 Not Factorable

PRACTICE…9 4 𝑚 2 −𝑚−3 (m - 1)(4m - 3)

PRACTICE…10 − 𝑥 2 +2𝑥+8 -(x - 4)(x + 2)

Exit Slip Front: Create a factoring problem that doesn’t have a = 1. First, choose your final answer and then distribute to get an equation that needs to be factored. Back: Factor your problem to see if you get the original answer. What was the easiest part about today’s lesson? What was the hardest part about today’s lesson?

Homework 8.7 Practice Worksheet