Question

factor the expression.
-35x - 30

the positive gcf of -35x and -30 is 5. complete each
5 × -7x = -35x
5 × -6 = -30
the expression with 5 factored out is \boxed{}.

Explanation:

Step1: Recall factoring by GCF

To factor \(-35x - 30\) using GCF (5), we use the distributive property \(ab + ac = a(b + c)\), where \(a = 5\), \(b=-7x\), and \(c = -6\) (from the given multiplications \(5\times(-7x)=-35x\) and \(5\times(-6)=-30\)).

Step2: Apply distributive property

Substitute into \(a(b + c)\): \(5(-7x - 6)\). We can also factor out a negative sign from the GCF approach, but since we used positive GCF 5 and the inner terms are \(-7x\) and \(-6\), the factored form is \(5(-7x - 6)\) or equivalently \(-5(7x + 6)\), but following the given steps with GCF 5, we combine the terms.

Answer:

\(5(-7x - 6)\) (or \(-5(7x + 6)\) is also correct, but based on the given GCF 5 and the inner terms, \(5(-7x - 6)\) is the form from factoring out 5)