How do you factor $- 24 - 10 x + x^{2}$ $-24-10x+x^2$ ?

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How do you factor $- 24 - 10 x + x^{2}$ $-24-10x+x^2$ ?

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Answer 1 · 2017-02-15T08:27:51

$(x - 12) (x + 2)$ $(x-12)(x+2)$

Explanation:

An expression is not comfortable to work with if the first term is negative. Let's re-arrange the expression, keeping the signs with the correct terms.

$- 24 - 10 x + x^{2} = x^{2} - 10 x - 24$ $-24-10x+x^2 = x^2 -10x -24$

Find factors of $24$ $24$ which subtract to make 10.
These will be $12 and 2$ $12 and 2$
The greater number must be negative: $(- 12 + 2 = - 10)$ $(-12+2 = -10)$

$(x - 12) (x + 2)$ $(x-12)(x+2)$

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How do you factor $- 24 - 10 x + x^{2}$ $-24-10x+x^2$ ?

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