Is it possible to factor #y= 2x^2 + 5x - 3 #? If so, what are the factors?

1 Answer
May 29, 2018

Answer:

#(x+3)(2x-1)#

Explanation:

#"using the a-c method to factor the quadratic"#

#"the factors of the product "2xx-3=-6#

#"which sum to + 5 are + 6 and - 1"#

#"split the middle term using these factors"#

#2x^2+6x-x-3larrcolor(blue)"factor by grouping"#

#=color(red)(2x)(x+3)color(red)(-1)(x+3)#

#"take out the "color(blue)"common factor "(x+3)#

#=(x+3)(color(red)(2x-1))#

#2x^2+5x-3=(x+3)(2x-1)#