How do you factor the expression #15x^2-14x+3 #?

1 Answer
May 12, 2016

Answer:

#15x^2-14x+3=(3x-1)(5x-3)#

Explanation:

Use an AC method:

Find a pair of factors of #AC = 15*3 = 45# with sum #B=14#.

The pair #9, 5# works.

Use this pair to split the middle term and factor by grouping:

#15x^2-14x+3#

#=15x^2-9x-5x+3#

#=(15x^2-9x)-(5x-3)#

#=3x(5x-3)-1(5x-3)#

#=(3x-1)(5x-3)#