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

3x^2 + 10x + 8

1 Answer
Apr 26, 2018

(3x+4)(x+2)

Explanation:

"assuming you require factorisation of the quadratic"

"using the a-c method of factoring"

"the factors of the product "3xx8=24

"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)