Factor 91n^2+n-2

Math
91n2+n-2
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=91⋅-2=-182 and whose sum is b=1.
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Multiply by 1.
91n2+1n-2
Rewrite 1 as -13 plus 14
91n2+(-13+14)n-2
Apply the distributive property.
91n2-13n+14n-2
91n2-13n+14n-2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(91n2-13n)+14n-2
Factor out the greatest common factor (GCF) from each group.
13n(7n-1)+2(7n-1)
13n(7n-1)+2(7n-1)
Factor the polynomial by factoring out the greatest common factor, 7n-1.
(7n-1)(13n+2)
Factor 91n^2+n-2

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