Factor 21v^2-41v+18

Math
21v2-41v+18
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=21⋅18=378 and whose sum is b=-41.
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Factor -41 out of -41v.
21v2-41(v)+18
Rewrite -41 as -14 plus -27
21v2+(-14-27)v+18
Apply the distributive property.
21v2-14v-27v+18
21v2-14v-27v+18
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(21v2-14v)-27v+18
Factor out the greatest common factor (GCF) from each group.
7v(3v-2)-9(3v-2)
7v(3v-2)-9(3v-2)
Factor the polynomial by factoring out the greatest common factor, 3v-2.
(3v-2)(7v-9)
Factor 21v^2-41v+18

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