How do you factor #f(x) = 18x^2 - 24x +6#?
1 Answer
Oct 2, 2017
Explanation:
#"remove a "color(blue)"common factor ""of 6 "#
#f(x)=6(3x^2-4x+1)#
#"to factor the quadratic consider the factors of 3 which"#
#"sum to - 4, that is - 3 and - 1"#
#rArr3x^2-4x+1#
#=3x^2-3x-x+1larr(-4x=-3x-x)#
#=color(red)(3x)(x-1)color(red)(-1)(x-1)larr" grouping"#
#"take out common factor of "(x-1)#
#=(x-1)(color(red)(3x-1))#
#rArrf(x)=6(3x-1)(x-1)#
