Factor 4n^2+19n-30

Math
4n2+19n-30
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅-30=-120 and whose sum is b=19.
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Factor 19 out of 19n.
4n2+19(n)-30
Rewrite 19 as -5 plus 24
4n2+(-5+24)n-30
Apply the distributive property.
4n2-5n+24n-30
4n2-5n+24n-30
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(4n2-5n)+24n-30
Factor out the greatest common factor (GCF) from each group.
n(4n-5)+6(4n-5)
n(4n-5)+6(4n-5)
Factor the polynomial by factoring out the greatest common factor, 4n-5.
(4n-5)(n+6)
Factor 4n^2+19n-30

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