How do you factor #3x^2 -4x +1#?
1 Answer
May 25, 2018
Explanation:
#"using the a-c method to factor the quadratic"#
#"the factors of the product "3xx1=3#
#"which sum to - 4 are - 3 and - 1"#
#"split the middle term using these factors"#
#3x^2-3x-x+1larrcolor(blue)"factor by grouping"#
#=color(red)(3x)(x-1)color(red)(-1)(x-1)#
#"take out the "color(blue)"common factor "(x-1)#
#=(x-1)(color(red)(3x-1))#
#3x^2-4x+1=(x-1)(3x-1)#
