Factor 12k^2+6k-168

Math
12k2+6k-168
Factor 6 out of 12k2+6k-168.
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Factor 6 out of 12k2.
6(2k2)+6k-168
Factor 6 out of 6k.
6(2k2)+6(k)-168
Factor 6 out of -168.
6(2k2)+6k+6⋅-28
Factor 6 out of 6(2k2)+6k.
6(2k2+k)+6⋅-28
Factor 6 out of 6(2k2+k)+6⋅-28.
6(2k2+k-28)
6(2k2+k-28)
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=2⋅-28=-56 and whose sum is b=1.
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Multiply by 1.
6(2k2+1k-28)
Rewrite 1 as -7 plus 8
6(2k2+(-7+8)k-28)
Apply the distributive property.
6(2k2-7k+8k-28)
6(2k2-7k+8k-28)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
6((2k2-7k)+8k-28)
Factor out the greatest common factor (GCF) from each group.
6(k(2k-7)+4(2k-7))
6(k(2k-7)+4(2k-7))
Factor the polynomial by factoring out the greatest common factor, 2k-7.
6((2k-7)(k+4))
6((2k-7)(k+4))
Remove unnecessary parentheses.
6(2k-7)(k+4)
6(2k-7)(k+4)
Factor 12k^2+6k-168

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