How do you factor the trinomial #2x^2+15x+7#?

2 Answers

#2x^2+15x+7=(x+7)(2x+1)#

Explanation:

Given quadratic polynomial:

#2x^2+15x+7#

#=2x^2+14x+x+7#

#=2x(x+7)+(x+7)#

#=(x+7)(2x+1)#

Jul 10, 2018

#(x+7)(2x+1)#

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)#