Factor Trinomials AC Method

What adds to B

What multiplies to AC

What multiplies to AB

What adds to AC

true

false

ax² +bx + c

ax² +cx + b

bx² +ax + c

cx² +bx + a

x+4

x+3

x+12

x-3

x-4

$$\left(x+3\right)\left(x-5\right)$$  

$$\left(x-3\right)\left(x+5\right)$$  

$$\left(x+1\right)\left(x-2\right)$$  

$$\left(x+3\right)\left(x-5\right)$$  

$$\left(x-3\right)\left(x+5\right)$$  

$$\left(x+1\right)\left(x-2\right)$$  

x+4

x+3

x+12

x-3

x-4

10; 11; 2x² + 5x +2x + 5

22; 5; 2x² + 9x +2x + 5

10; 11; 2x² + 10x +x + 5

10; 11; 2x² + x +10x + 5

The 2 numbers that multiply to 8 and add to -7, which are 8 and -1.

The 2 numbers that multiply to -8 and add to -7, which are -8 and -1.

The 2 numbers that multiply to -8 and add to -7, which are -8 and 1.