Question

What are all the possible factors of the quadratic term for x2 10x − 24?

Answer 1

The factors are,

x + 12 and x - 2

Explanation:

x^2 + 10x - 24,

Here, we note that,

12 - 2 = 10,

and (12)(-2) = 24,

so, we can re-write 10x as 10x = 12x - 2x

so,

`x^2 + 12x - 2x - 24 = 0`

Taking x common from the 1st two terms (x^2 and 12x),

and taking -2 common from the last two tems (-2x and -24), we get,

`x^2 + 12x - 2x - 24 \\x(x+12)-2(x+12)\\taking \ (x+12) \ common,we \ get,\\(x+12)(x-2)`

So, The factors are,

x + 12 and x - 2