Factor 5n^2+13n-28

Math
5n2+13n-28
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⋅-28=-140 and whose sum is b=13.
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Factor 13 out of 13n.
5n2+13(n)-28
Rewrite 13 as -7 plus 20
5n2+(-7+20)n-28
Apply the distributive property.
5n2-7n+20n-28
5n2-7n+20n-28
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(5n2-7n)+20n-28
Factor out the greatest common factor (GCF) from each group.
n(5n-7)+4(5n-7)
n(5n-7)+4(5n-7)
Factor the polynomial by factoring out the greatest common factor, 5n-7.
(5n-7)(n+4)
Factor 5n^2+13n-28

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