Factor 16w^2+10w-21

Math
16w2+10w-21
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=16⋅-21=-336 and whose sum is b=10.
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Factor 10 out of 10w.
16w2+10(w)-21
Rewrite 10 as -14 plus 24
16w2+(-14+24)w-21
Apply the distributive property.
16w2-14w+24w-21
16w2-14w+24w-21
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(16w2-14w)+24w-21
Factor out the greatest common factor (GCF) from each group.
2w(8w-7)+3(8w-7)
2w(8w-7)+3(8w-7)
Factor the polynomial by factoring out the greatest common factor, 8w-7.
(8w-7)(2w+3)
Factor 16w^2+10w-21

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