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QUESTION IMAGE

factor the given polynomial by finding the greatest common monomial fac…

Question

factor the given polynomial by finding the greatest common monomial factor (or the negative of the greatest common monomial factor) and rewrite the expression.

\\-3y - 6x\\

Explanation:

Identify the terms of the polynomial

We are given the polynomial:

$$ -3y - 6x $$

The two terms in this expression are \( -3y \) and \( -6x \).

Find the greatest common factor

Using the Greatest Common Factor knowledge point

$$ LATEXBLOCK0 $$

Factor out the negative greatest common monomial factor

Since both terms are negative, we factor out the negative of the greatest common factor, which is \( -3 \):

$$ -3y - 6x = -3(y + 2x) $$

Answer:

\(-3(y + 2x)\)