Question

The area (in square inches) of a rectangle is given by the polynomial function A(x) = x² + 10x + 24. If the width of the rectangle is (x + 6) inches, what is the length?

Answer 1

x+4

Explanation:

Answer 2

x + 4

Explanation:

We can see this because x² + 10x + 24 is divisible by x + 6, giving us the quotient of x + 4.

We can demonstrate that by simply multiplying the two binomials:

(x + 4)(x + 6)

= x² + 6x + 4x + 24

= x² + 10x + 24