The fully factorized version of -x-5 is [tex]-1 \times (x+5)[/tex].
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 = [tex]-1\times(x+5)[/tex]
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.
⇒ [tex]-1\times1\times(x+5)[/tex]
⇒ [tex]-1\times(x+5)[/tex].
∴ The fully factorized version of -x-5 is [tex]-1\times(x+5)[/tex].
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