Question

Factorise fully -x-5

Answer 1

-x: -1 • x
-5: -5 • 1

Answer 2

The fully factorized version of  -x-5 is $-1 \times (x+5)$.

What is Factorization?

Usually, factorization or factoring means writing a number (or another mathematical object) as a product of minor or more uncomplicated objects of the same kind.

Given -x-5 is a linear expression.

For factorizing, first, make the coefficient of x positive. For this take -1 common.

⇒ -x-5 = $-1\times(x+5)$

Now take the greatest common divisor (gcd) of absolute values of coefficients in x+5.

⇒ gcd(1,5) = 1.

Now take gcd 1 common in the expression.

⇒ $-1\times1\times(x+5)$

⇒ $-1\times(x+5)$.

∴ The fully factorized version of -x-5 is $-1\times(x+5)$.

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