Factor 4n^2-19n+21

Math
4n2-19n+21
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⋅21=84 and whose sum is b=-19.
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Factor -19 out of -19n.
4n2-19(n)+21
Rewrite -19 as -7 plus -12
4n2+(-7-12)n+21
Apply the distributive property.
4n2-7n-12n+21
4n2-7n-12n+21
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(4n2-7n)-12n+21
Factor out the greatest common factor (GCF) from each group.
n(4n-7)-3(4n-7)
n(4n-7)-3(4n-7)
Factor the polynomial by factoring out the greatest common factor, 4n-7.
(4n-7)(n-3)
Factor 4n^2-19n+21

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