Math 1 - Chapter 7.3 Factoring Trinomials

Label the parts of the

"Factoring X Method"

a

b

c

d

Small Factor

Multi. "c"

Large Factor

Add "b"

• 6
• 3
• 4
• 1
• 5

Match the following

• (x + 2)(x + 10)

• (x - 2)(x + 10)

• (x - 4)(x - 5)

• (x + 1)(x - 20)

• (x - 1)(x - 20)

Factor Completely
 $v^2+11v+28$  

•  $\left(v-7\right)\left(v+4\right)$  

•  $\left(v+7\right)\left(v-4\right)$  

•  $\left(v+6\right)\left(v+3\right)$  

•  $\left(v+7\right)\left(v+4\right)$  

Factor Completely
 $n^2-12n+35$  

•  $4\left(n+9\right)\left(n+10\right)$  

•  $\left(n-7\right)\left(n-5\right)$  

•  $\left(n-7\right)\left(n+5\right)$  

• Not Factorable

Factor Completely
 $k^2+2k\ -63$  

•  $\left(k-7\right)\left(k+9\right)$  

•  $\left(k+3\right)\left(k+4\right)$  

•  $\left(k-3\right)\left(k-9\right)$  

•  $\left(k-7\right)\left(k-9\right)$  

Factor Completely
 $a^2+10a+24$  

• Not Factorable

•  $6\left(a+7\right)\left(a+8\right)$  

•  $\left(a+4\right)\left(a+6\right)$  

•  $4\left(a+6\right)\left(a+9\right)$  

Factor Completely
 $r^2-r-56$  

• Not Factorable

•  $4\left(r+3\right)\left(r+9\right)$  

•  $3\left(r-3\right)\left(r+8\right)$  

•  $\left(r+7\right)\left(r-8\right)$  

Factor Completely
 $m^2-6m-27$  

•  $\left(m+7\right)\left(m-2\right)$  

•  $\left(m+3\right)\left(m-9\right)$  

•  $6m\left(m+8\right)$  

•  $\left(m+3\right)\left(m+9\right)$