Factor completely. -23x^(2)y^(3)z^(3)+21 z Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression. The terms -23x^(2)y^(3)z^(3) and 21z have a common factor of z.Factor out GCF: Factor out the GCF from each term in the expression. The GCF z is factored out, resulting in z(-23x^(2)y^(3)z^(2) + 21).Find common factors: Look for any other common factors in the remaining expression inside the parentheses. The terms -23x^(2)y^(3)z^(2) and 21 do not have any other common factors.Check for further factorization: Check if the expression inside the parentheses can be factored further. The expression -23x^(2)y^(3)z^(2) + 21 is not factorable since 23 is a prime number and does not divide 21.Write final factored form: Write down the final factored form of the expression. The completely factored form of the expression is z(-23x^(2)y^(3)z^(2) + 21).

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Q. Factor completely.

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-23 x^{2} y^{3} z^{3}+21 z

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Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression. $\newline$ The terms $-23x^{2}y^{3}z^{3}$ and $21z$ have a common factor of $z$ .
Factor out GCF: Factor out the GCF from each term in the expression. $\newline$ The GCF $z$ is factored out, resulting in $z(-23x^{2}y^{3}z^{2} + 21)$ .
Find common factors: Look for any other common factors in the remaining expression inside the parentheses. $\newline$ The terms $-23x^{2}y^{3}z^{2}$ and $21$ do not have any other common factors.
Check for further factorization: Check if the expression inside the parentheses can be factored further. $\newline$ The expression $-23x^{2}y^{3}z^{2} + 21$ is not factorable since $23$ is a prime number and does not divide $21$ .
Write final factored form: Write down the final factored form of the expression. $\newline$ The completely factored form of the expression is $z(-23x^{2}y^{3}z^{2} + 21)$ .