1. 7.5 Factoring When One in Front

2. What We Will Learn
Factor when a one in front of 𝑥 2

3. Exs. 1/2/3 Factoring with one in front
𝑥 2 +10𝑥+16
𝑥 𝑥
𝑥 𝑥 2
𝑥+8 𝑥+2
𝑥 2 +7𝑥+6
𝑥 𝑥
𝑥 𝑥 6
𝑥+1 𝑥+6
Find 2 numbers that multiply to get c and add or subtract to get b
Look at sign of c to determine if add or subtract
Steps:
1. write
2. Split letter and put in front in
3. put in factors in back
4. find sign combination
Look at c
If c is +, then +,+ or -,-
Look at b to chooses which one
If c is -, then +,-
Bigger factor gets the sign of the middle

4. Exs 1/2/3 Cont. Factor 𝑥 2 −8𝑥+12 𝑛2−12𝑛+35 Factor 𝑦 2 +4𝑦−21
𝑥 𝑥
𝑥 𝑥 6
𝑥−2 𝑥−6
𝑛2−12𝑛+35
𝑛 𝑛
𝑛 𝑛 5
𝑛−7 𝑛−5
Factor
𝑦 2 +4𝑦−21
𝑦 𝑦
𝑦 𝑦 3
𝑦+7 𝑦−3
𝑚 2 −6𝑚−7
𝑚 𝑚
𝑚 𝑚 1
𝑚−7 𝑚+1

5. Your Practice Factor ℎ 2 +11ℎ+18 𝑤 2 −17𝑤+72 Factor 𝑣 2 −𝑣−42
ℎ ℎ
ℎ ℎ 2
ℎ+9 ℎ+2
𝑤 2 −17𝑤+72
ℎ ℎ 8
ℎ−9 ℎ−8
Factor
𝑣 2 −𝑣−42
𝑣 𝑣
𝑣 𝑣 6
𝑣−7 𝑣+6
𝑦 2 +13𝑦−30
𝑦 𝑦
𝑦 𝑦 2
𝑦+15 𝑦−2