Question

he diagram represents the polynomial 4x2 + 23x – 72.

A 2-column table with 2 rows. The labels for both the columns and the rows is question mark. First column entries are 4 x squared, negative 9 x. Second column entries are 32 x, negative 72.
What is the factored form of 4x2 + 23x – 72?

(4x + 8)(x – 9)
(4x – 8)(x + 9)
(4x + 9)(x – 8)
(4x – 9)(x + 8)

Answer 1

4x^2 + 23x - 72 = 4x^2 + 32x - 9x - 72
= 4x(x + 8) - 9(x + 8)
= (4x - 9)(x + 8)

So the correct choice is (4x − 9)(x + 8).