Question

Explain how you know that (x-12)(x+2) is not a correct factorization of x^2 + 10x-24

Answer 1

Given :

`(x-12)(x+2)`

The result will be :

`\begin{gathered} (x-12)\cdot(x+2) \\ =x\cdot(x+2)-12\cdot(x+2) \\ =x^2+2x-12x-24 \\ =x^2-10x-24 \end{gathered}`

So, (x-12)(x+2) is not a correct factorization of x^2 + 10x-24​ because the result is

x^2 - 10x - 24