Question

Which are the factors of x2 + 5x – 24 ?

A)(x-6)(x+4)
B)(x+6)(x-4)
C)(x-8)(x + 3)
D)(x + 8)(x-3)
4

Answer 1

The factors of
`x^(2) +5x -24` are option D

D) (x+8)(x-3)

Explanation:

Given:

`x^(2) +5x -24`

To Find:

Factors of
`x^(2) +5x -24`

Solution:

First remove the factors for -24 such that if you added you will get +5.

We will have 8 and -3

8 × -3 = -24

8 + (- 3) = 5

Now by splitting the middle term in the equation we get

`x^(2) +5x -24 = x^(2)+8x-3x -24\\x^(2) +5x -24 = x(x+8)-3(x+8)\ \textrm{taking x and -3 common}\\x^(2) +5x -24 = (x+8)(x-3)\ \textrm{which is required answer}`