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5 votes
Factor the trinomial below.

x^2-5x-14

A. (x-2)(x-7)
B. (x+2)(x-7)
C. (x+2)(x+7)
D. (x-2)(x+7)

User Vdhant
by
8.3k points

2 Answers

4 votes
The answer is B.
Proof:
-7+2=-5
-7*2=-14

Also, when you FOIL it becomes
x^2-7x+2x-14
That simplifies to
x^2-5x-14
User Ahmed Abbas
by
8.7k points
5 votes

Answer:

The factored form is


x^2-7x+2x-14=(x+2)(x-7)

Explanation:

Given the trinomial


x^2-5x-14

we have to factor the above trinomial.


x^2-5x-14

By middle term splitting method


x^2-7x+2x-14

Taking x common from first two terms and 2 from last two terms


x(x-7)+2(x-7)


(x+2)(x-7)

which are required factors.

Hence, option B is correct.

User Krenel
by
7.2k points

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