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

The factor of the given polynomial 4x^2 + 23x – 72 would be equal to (4x - 9) (x + 8).

What are polynomials?

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

The given polynomial expression

$4x^2 + 23x - 72$

We factor in the highest common denominator of each group.

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

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

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

Finally, the factored expression is

(4x - 9) (x + 8)

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