Factor 34d^2-41d-15

Math
34d2-41d-15
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=34⋅-15=-510 and whose sum is b=-41.
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Factor -41 out of -41d.
34d2-41(d)-15
Rewrite -41 as 10 plus -51
34d2+(10-51)d-15
Apply the distributive property.
34d2+10d-51d-15
34d2+10d-51d-15
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(34d2+10d)-51d-15
Factor out the greatest common factor (GCF) from each group.
2d(17d+5)-3(17d+5)
2d(17d+5)-3(17d+5)
Factor the polynomial by factoring out the greatest common factor, 17d+5.
(17d+5)(2d-3)
Factor 34d^2-41d-15

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