How do you factor the trinomial #3x^2 + 10x - 8#?
1 Answer
May 15, 2018
Explanation:
#"using the a-c method to factor the quadratic"#
#"the factors of the product "3xx-8=-24#
#"which sum to + 10 are + 12 and - 2"#
#"split the middle term using these factors"#
#3x^2+12x-2x-8larrcolor(blue)"factor by grouping"#
#=color(red)(3x)(x+4)color(red)(-2)(x+4)#
#"take out the "color(blue)"common factor "(x+4)#
#=(x+4)(color(red)(3x-2))#
#rArr3x^2+10x-8=(x+4)(3x-2)#
