How do you factor 10x^2 - 8x - 15x + 12?

1 Answer
Jim G.
May 16, 2018

(2x-3)(5x-4)

Explanation:

"if the ratios of the coefficients of the first/second terms"
"and third/fourth terms are equal we can factor by grouping"

"As they stand this is not the case but rearranging gives"

10x^2-15x-8x+12larrcolor(blue)"factor by grouping"

=color(red)(5x)(2x-3)color(red)(-4)(2x-3)

"take out the "color(blue)"common factor "(2x-3)

=(2x-3)(color(red)(5x-4))

rArr10x^2-8x-15x+12=(2x-3)(5x-4)

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