Factor 21a^2-a-10

Math
21a2-a-10
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=21⋅-10=-210 and whose sum is b=-1.
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Factor -1 out of -a.
21a2-(a)-10
Rewrite -1 as 14 plus -15
21a2+(14-15)a-10
Apply the distributive property.
21a2+14a-15a-10
21a2+14a-15a-10
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(21a2+14a)-15a-10
Factor out the greatest common factor (GCF) from each group.
7a(3a+2)-5(3a+2)
7a(3a+2)-5(3a+2)
Factor the polynomial by factoring out the greatest common factor, 3a+2.
(3a+2)(7a-5)
Factor 21a^2-a-10

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