Factor 5b^2+24b-36

Math
5b2+24b-36
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅-36=-180 and whose sum is b=24.
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Factor 24 out of 24b.
5b2+24(b)-36
Rewrite 24 as -6 plus 30
5b2+(-6+30)b-36
Apply the distributive property.
5b2-6b+30b-36
5b2-6b+30b-36
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(5b2-6b)+30b-36
Factor out the greatest common factor (GCF) from each group.
b(5b-6)+6(5b-6)
b(5b-6)+6(5b-6)
Factor the polynomial by factoring out the greatest common factor, 5b-6.
(5b-6)(b+6)
Factor 5b^2+24b-36

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