How do you factor the trinomial #2x^2+15x+7#?
2 Answers
Jul 10, 2018
Explanation:
Given quadratic polynomial:
Jul 10, 2018
Explanation:
#"using the a-c method to factor the quadratic"#
#"the factors of the product "2xx7=14#
#"which sum to "+15" are "+14" and "+1#
#"use these factors to split the middle term"#
#2x^2+14x+x+7larrcolor(blue)"factor by grouping"#
#=color(red)(2x)(x+7)color(red)(+1)(x+7)#
#"take out the "color(blue)"common factor "(x+7)#
#=(x+7)(color(red)(2x+1))#
#2x^2+15x+7=(x+7)(2x+1)#