Question

which is a factor of x2 5x − 24? (x − 6) (x 6) (x − 8) (x 8)

Answer 1

Factors of -24 that add up to 5

8 and -3

so (x + 8)(x - 3) are its factors.

The answer would be (x + 8)

Answer 2

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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