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factor out gcf (multivariable) score: 0/2 penalty: 1 off question facto…

Question

factor out gcf (multivariable)
score: 0/2 penalty: 1 off
question
factor completely.
-24y - 6x^{3}y^{2}z^{3}
answer attempt 1 out of 2

Explanation:

Step1: Find the GCF of coefficients

The coefficients are -24 and -6. The GCF of 24 and 6 is 6, and considering the negative - signs, the GCF of -24 and -6 is -6.

Step2: Find the GCF of variables

For the variables, in the terms -24y and -6x³y²z³, the common variable factor is y since it is the highest - power of the variable that divides both terms.

Step3: Factor out the GCF

Factor out - 6y from -24y - 6x³y²z³. We get -6y(4 + x³yz³).

Answer:

-6y(4 + x³yz³)