# How do you factor the trinomial #8x^2 − 11x + 3#?

##### 2 Answers

#### Explanation:

Aug 4, 2018

#### Explanation:

#"factor the quadratic using the a-c method"#

#"the factors of "8xx3=24#

#"which sum to "-11" are "-8" and "-3#

#"use these factors to split the middle term"#

#8x^2-8x-3x+3larrcolor(blue)"factor by grouping"#

#=color(red)(8x)(x-1)color(red)(-3)(x-1)#

#"take out the "color(blue)"common factor "(x-1)#

#=(x-1)(color(red)(8x-3))#

#8x^2-11x+3=(x-1)(8x-3)#