Answer:
(2x+1)(x+7)
Explanation:
2x2+15x+7
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⋅7=14 and whose sum is b=15
.
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2x2+x+14x+7
Factor out the greatest common factor from each group.
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x(2x+1)+7(2x+1)
Factor the polynomial by factoring out the greatest common factor, 2x+1
.
(2x+1)(x+7)