# What is 3x^2 + 10x + 8?

##
#3x^2 + 10x + 8#

##### 1 Answer

Apr 26, 2018

#### Explanation:

#"assuming you require factorisation of the quadratic"#

#"using the a-c method of factoring"#

#"which sum to + 10 are + 6 and + 4"#

#"split the middle term using these factors"#

#rArr3x^2+6x+4x+8larrcolor(blue)"factor by grouping"#

#=color(red)(3x)(x+2)color(red)(+4)(x+2)#

#"take out the "color(blue)"common factor "(x+2)#

#=(x+2)(color(red)(3x+4))#

#rArr3x^2+10x+8=(x+2)(3x+4)#