Factor 6p^2-p-2

Math
6p2-p-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=6⋅-2=-12 and whose sum is b=-1.
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Factor -1 out of -p.
6p2-(p)-2
Rewrite -1 as 3 plus -4
6p2+(3-4)p-2
Apply the distributive property.
6p2+3p-4p-2
6p2+3p-4p-2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(6p2+3p)-4p-2
Factor out the greatest common factor (GCF) from each group.
3p(2p+1)-2(2p+1)
3p(2p+1)-2(2p+1)
Factor the polynomial by factoring out the greatest common factor, 2p+1.
(2p+1)(3p-2)
Factor 6p^2-p-2

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