How do you factor $6x^2 - 25x + 14$ ?

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Answer 1 · 2016-08-30T18:02:23

$6x^2-25x+14=(3x-2)(2x-7)$

Given:

$6x^2-25x+14$

Use an AC Method:

Look for a pair of factors of $AC=6*14=84$ which sum to $B=25$ .

The pair $21, 4$ works.

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

$6x^2-25x+14$

$=6x^2-21x-4x+14$

$=(6x^2-21x)-(4x-14)$

$=3x(2x-7)-2(2x-7)$

$=(3x-2)(2x-7)$

How do you factor 6x^2 - 25x + 146x^2 - 25x + 14?