How do you factor the trinomial #2x^2+5x+2#?
1 Answer
Aug 4, 2018
Explanation:
#"factor the quadratic using the a-c method"#
#"the factors of the product "2xx2=4#
#"which sum to "+5" are "+4" and "+1#
#"split the middle term using these factors"#
#2x^2+4x+x+2larrcolor(blue)"factor by grouping"#
#=color(red)(2x)(x+2)color(red)(+1)(x+2)#
#"take out the "color(blue)"common factor "(x+2)#
#=(x+2)(color(red)(2x+1))#
#2x^2+5x+2=(x+2)(2x+1)#
