The diagram represents the polynomial 4x2 + 23x – 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)

For this case we must factor the following expression:

We rewrite the middle term as a sum of two terms whose product is and whose sum is 23. These numbers are -9 and +32. So:

We factor the highest common denominator of each group.

We factor taking into account the common term

Finally, the factored expression is:

Option D

The correct answer option is D. (4x – 9)(x + 8).

Step-by-step explanation:

We are given the following polynomial and we are to find its factored form:

Finding factors of (-72 * 4 = ) -288 such that when added they give a result of 23 and when multiplied it gives a product of -288.

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