2 years ago

Factor the trinomial 2x^2+15x+7

Mathematics

1 answer:

Mashutka [201]2 years ago

3 0

Answer:

(2x+1)(x+7)

Step-by-step 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)

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