Question

The area of a rectangular table is given by the trinomial x2 + 7x – 30. What are the possible dimensions of the rectangle?

A. (x + 10) and (x – 3)
B. (x – 10) and (x – 3)
C. (x + 10) and (x + 3)
D. (x – 10) and (x + 3)

Answer 1

Answer: The correct answer is Choice A.

In the problem, we are given a trinomial. The answers are all factored forms of the a trinomial.

We can use the FOIL method on each to determine if it matches the problem.

Choice A:
(x + 10)(x - 3)
x^2 - 3x + 10x - 30
x^2 + 7x - 30

Thankfully, Choice A matches. Otherwise, we would have to check the rest of them.