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Witch of the binomials below is a factor of this trinomial x^2 + 19x + 84 A)x-7 B)x^2+12 C)x+84 D)x+7

Witch of the binomials below is a factor of this trinomial x^2 + 19x + 84 A)x-7 B)x^2+12 C)x+84 D)x+7
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3 votes
Witch of the binomials below is a factor of this trinomial

x^2 + 19x + 84
A)x-7
B)x^2+12
C)x+84
D)x+7

User Patrick Harrington
by
7.4k points

1 Answer

3 votes
Let's factor the trinomial.
x^2+19x+84.
Find two numbers that add to 19 and multiply to 84.
They happen to be 7 and 12.
x^2+7x+12x+84
x(x+7)+12(x+7)
Gather like terms.
(x+7)(x+12)
Therefore, the answer is D.
User Varvara Jones
by
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