Factor 36v^2-13v+1

Math
36v2-13v+1
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=36⋅1=36 and whose sum is b=-13.
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Factor -13 out of -13v.
36v2-13(v)+1
Rewrite -13 as -4 plus -9
36v2+(-4-9)v+1
Apply the distributive property.
36v2-4v-9v+1
36v2-4v-9v+1
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(36v2-4v)-9v+1
Factor out the greatest common factor (GCF) from each group.
4v(9v-1)-(9v-1)
4v(9v-1)-(9v-1)
Factor the polynomial by factoring out the greatest common factor, 9v-1.
(9v-1)(4v-1)
Factor 36v^2-13v+1

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