The factor of the given polynomial 4x^2 + 23x – 72 would be equal to (4x - 9) (x + 8).
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
[tex]4x^2 + 23x - 72[/tex]
We factor in the highest common denominator of each group.
[tex]4x^2 + (-9+32)x - 72[/tex]
[tex]4x^2+9x-32x - 72[/tex]
[tex](4x-9)x+8(4x-9)[/tex]
Finally, the factored expression is
(4x - 9) (x + 8)
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