7.5 Factoring When One in Front

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

Exs. 1/2/3 Factoring with one in front 𝑥 2 +10𝑥+16 𝑥 𝑥 𝑥 8 𝑥 2 𝑥+8 𝑥+2 𝑥 2 +7𝑥+6 𝑥 𝑥 𝑥 1 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

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

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