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

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Answer 1 · 2016-05-12T22:50:34

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

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:

$15x^2-14x+3$

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

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

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

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

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