Factor 12a^3+22a^2-20a

Math
12a3+22a2-20a
Factor 2a out of 12a3+22a2-20a.
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Factor 2a out of 12a3.
2a(6a2)+22a2-20a
Factor 2a out of 22a2.
2a(6a2)+2a(11a)-20a
Factor 2a out of -20a.
2a(6a2)+2a(11a)+2a(-10)
Factor 2a out of 2a(6a2)+2a(11a).
2a(6a2+11a)+2a(-10)
Factor 2a out of 2a(6a2+11a)+2a(-10).
2a(6a2+11a-10)
2a(6a2+11a-10)
Factor.
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Factor by grouping.
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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⋅-10=-60 and whose sum is b=11.
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Factor 11 out of 11a.
2a(6a2+11(a)-10)
Rewrite 11 as -4 plus 15
2a(6a2+(-4+15)a-10)
Apply the distributive property.
2a(6a2-4a+15a-10)
2a(6a2-4a+15a-10)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
2a((6a2-4a)+15a-10)
Factor out the greatest common factor (GCF) from each group.
2a(2a(3a-2)+5(3a-2))
2a(2a(3a-2)+5(3a-2))
Factor the polynomial by factoring out the greatest common factor, 3a-2.
2a((3a-2)(2a+5))
2a((3a-2)(2a+5))
Remove unnecessary parentheses.
2a(3a-2)(2a+5)
2a(3a-2)(2a+5)
Factor 12a^3+22a^2-20a

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