The factor of the polynomial expression x² + 5x − 24 are (x + 8) and (x - 3) option (D) (x + 8) is correct.
What is a quadratic equation ?
Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)
The question is incomplete.
The complete question is:
Which is a factor of x² + 5x − 24?
- (x − 6)
- (x + 6)
- (x − 8)
- (x + 8)
We have a quadratic polynomial:
= x² + 5x − 24
To find the factors of the above polynomial we can use the factor method:
= x² + 8x - 3x − 24
= x(x + 8) - 3(x + 8)
= (x + 8)(x - 3)
The factor of the polynomial expression x² + 5x − 24 is (x + 8) and (x - 3).
Thus, the factor of the polynomial expression x² + 5x − 24 are (x + 8) and (x - 3) option (D) (x + 8) is correct.
Learn more about quadratic equations here:
brainly.com/question/2263981
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