1.

Factorize `x^2+5x-24`.

Answer» The given expression is `x^2+5x-24`.
We try to spilt 5 into two parts whose sum is 5 and product -24.
Clearly , ` 8+(-3)=5 and 8 xx (-3)=-24`.
`therefore x^2+5x-24=x^2+8x-3x-24`
`=x(x+8)-3(x+8)`
`=(x+8)(x-3)`
Hence, `x^2 5x-24=(x+8)(x-3)`.


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