# Warm Up Find the GCF Factor Completely 1)

Warm Up Find the GCF Factor Completely 1) 56, 26 3) 18z4 + 21z3 9z2

2) 144x5wz3, 36x3z2m 4) 3xy + 21x 2y 14 Divisibility Rules Homework

Factoring Standard Form: ax2 + bx + c Factoring is the opposite of multiplying: Multiplyin

g (x +7)(x + 3) = Factoring

x2 + 10x + 21 there are many methods we can use to get to the same answer I am going to show you two ways You decide which one you like

Method 1 We have to find a number that multiplies to the c term whose factors add to the b term (x +7)(x + 3)

= x2 + 10x + 21 73= 21 7+3= Some people like to organize this using an X-box, 10

and not the gaming system Factor the x-box way y = ax2 + bx + c First and Last Coefficients

Produ ct ac=mn n m Middle b=m+

n Sum Now lets practice Finding the m and n terms

Now lets Factor!!! Examples Factor. 1. x2 + 4x 12 -12 6

-2 4 y = ax2 + bx + c First and Last Coefficients

Produ ct ac=mn n m Middle

b=m+ n Sum Solution: x2 + 4x 12 = (x + 6)(x 2) Examples 2. x2 - 9x + 20

20 -4 -5 -9 continued

y = ax2 + bx + c First and Last Coefficients Produ

ct ac=mn n m Middle b=m+ n

Sum Solution: x2 - 9x + 20 = (x - 4)(x - 5) Method 2 Undoing the Box x2 - 7a + 6

x2 3x - 28 24 + 10x + x2 d2 6d 27 2x2 + 6x + 4

x2 9 Think-Pair-Share 1. Based on the problems weve done, list the steps for factoring so that someone else can do a problem using only your steps.

2. Trade papers with your partner and use their steps to factor the following problem: x2 + 4x - 32. ake sure your partner uses the same method as you!! Trying out the Steps 3. If you cannot complete the problem

using only the steps written, put an arrow on the step where you stopped. Give your partners paper back to him. 4. Modify the steps you wrote to correct any incomplete or incorrect steps. Finish the problem based on your new steps and give the steps back to your partner. 5. Try using the steps again to factor:

x2 - x - 56. You Try!- Choose your own method Factor the expression: x2 + 7x + 10 You Try!

Factor the expression: x2 2x 24 You Try! Factor the expression: x2 15x + 26 You Try! Factor the expression: x2 6x 27

You try!!! Factor the expression: 14 x2 + 9x +

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