How do you factor #3x^2-7x+4# by grouping?

1 Answer
Jan 19, 2017

Answer:

#3x^2-7x+4 = (3x-4)(x-1)#

Explanation:

Note that #7 = 3+4#, so we can split the middle term as #-3x-4x# to be able to factor by grouping:

#3x^2-7x+4 = 3x^2-3x-4x+4#

#color(white)(3x^2-7x+4) = (3x^2-3x)-(4x-4)#

#color(white)(3x^2-7x+4) = 3x(x-1)-4(x-1)#

#color(white)(3x^2-7x+4) = (3x-4)(x-1)#