How do you factor #20x^2-54x+36#?
1 Answer
Jun 5, 2018
Explanation:
#"take out a "color(blue)"common factor "2#
#=2(10x^2-27x+18)#
#"using the a-c method to factor the quadratic"#
#"the factors of the product "10xx18=180#
#"which sum to - 27 are - 15 and - 12"#
#"split the middle term using these factors"#
#10x^2-15x-12x+18larrcolor(blue)"factor by grouping"#
#=color(red)(5x)(2x-3)color(red)(-6)(2x-3)#
#"take out the "color(blue)"common factor "(2x-3)#
#=(2x-3)(color(red)(5x-6))#
#20x^2-54x+36=2(2x-3)(5x-6)#
