Question

The 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

Answer: the answer is (4x+8)(x-9)

Explanation:

Answer 2

Option D.

Explanation:

The given polynomial is

`4x^2+23x-72`

We need to find the factored form of given polynomial.

Splitting the middle term, then given polynomial can be rewritten as

`4x^2-9x+32x-72`

`(4x^2-9x)+(32x-72)`

Taking out the common factors from each parenthesis.

`x(4x-9)+8(4x-9)`

Taking out the common factors.

`(4x-9)(x+8)`

The factored form of given polynomial is (4x-9)(x+8).

Therefore, the correct option is D.