Transcript Lesson 6.4

6.4 Factoring
2
ax + bx + c when a = 1
Factoring a trinomial:
ax2 + bx + c when a = 1
1. Draw an X.
2. In the top of the X write the value of c (the
constant).
3. In the bottom of the X write the value of b
(the coefficient of x).
4. Now find two values that multiply together to
get c and add together to get b. One value
goes in the left and the other in the right of
the X.
x2 + bx + c
𝑐
𝐹𝑎𝑐𝑡𝑜𝑟 𝑡ℎ𝑎𝑡 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑖𝑒𝑠 𝑡𝑜
𝑒𝑞𝑢𝑎𝑙 𝑐 𝑎𝑛𝑑 𝑎𝑑𝑑𝑠 𝑡𝑜 𝑒𝑞𝑢𝑎𝑙 𝑏
𝐹𝑎𝑐𝑡𝑜𝑟 𝑡ℎ𝑎𝑡 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑖𝑒𝑠 𝑡𝑜
𝑒𝑞𝑢𝑎𝑙 𝑐 𝑎𝑛𝑑 𝑎𝑑𝑑𝑠 𝑡𝑜 𝑒𝑞𝑢𝑎𝑙 𝑏
𝑏
Factor x  5 x  6
2
Factor x  8 x  12
2
Factor x  13 x  36
2
Factor m  8mn  12n
2
2
Factor x  8 x  15
2
Factor x  9 x  20
2
Factor x  10 x  16
2
Factor x  8 x  20
2
Factor x  4 x  12
2
Factor x  5 xy  14 y
2
2