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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)

Respuesta :

Answer:  the answer is (4x+8)(x-9)

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

The given polynomial is

[tex]4x^2+23x-72[/tex]

We need to find the factored form of given polynomial.

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

[tex]4x^2-9x+32x-72[/tex]

[tex](4x^2-9x)+(32x-72)[/tex]

Taking out the common factors from each parenthesis.

[tex]x(4x-9)+8(4x-9)[/tex]

Taking out the common factors.

[tex](4x-9)(x+8)[/tex]

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

Therefore, the correct option is D.

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