Factor 40b^2+19b-3

Math
40b2+19b-3
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=40⋅-3=-120 and whose sum is b=19.
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Factor 19 out of 19b.
40b2+19(b)-3
Rewrite 19 as -5 plus 24
40b2+(-5+24)b-3
Apply the distributive property.
40b2-5b+24b-3
40b2-5b+24b-3
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(40b2-5b)+24b-3
Factor out the greatest common factor (GCF) from each group.
5b(8b-1)+3(8b-1)
5b(8b-1)+3(8b-1)
Factor the polynomial by factoring out the greatest common factor, 8b-1.
(8b-1)(5b+3)
Factor 40b^2+19b-3

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