Question

- The area of a rectangle is 22 +51 - 24. Which of the following could be one of the dimensions? O (x - 8) O (x+8) O (x – 6) O (x - 4)

Answer 1

The equation is given as,

`x^2+5x-24\text{ }`

Factorizing the given expression,

`\begin{gathered} x^2+5x-24=x^2+8x-3x-24\text{ } \\ x^2+5x-24=x(x+8)-3(x+8) \\ x^2+5x-24=(x-3)(x+8) \end{gathered}`

Therefore the factors of the given expression are

`(x-3)(x+8)`

Thus one of the dimensions could be

`(x+8)`