Factor the expression completely. x^(4)y+x^(2)y Answer:

Identify Factors: Identify common factors in both terms. Both terms x^(4)y and x^(2)y have x^(2) and y as common factors.Factor Out GCF: Factor out the greatest common factor (GCF). The GCF of x^(4)y and x^(2)y is x^(2)y. So we factor x^(2)y out of both terms. x^(4)y + x^(2)y = x^(2)y(x^(2) + 1)Check Further Factoring: Check if the remaining expression inside the parentheses can be factored further. The expression inside the parentheses is x^(2) + 1, which cannot be factored further over the real numbers because it does not have real roots.

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Factor the expression completely.

x^(4)y+x^(2)y
Answer:

Factor the expression completely. $\newline$ $x^{4} y+x^{2} y$ $\newline$ Answer:

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Algebra 2

Composition of linear and quadratic functions: find an equation

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Q. Factor the expression completely.

\newline

x^{4} y+x^{2} y

\newline

Answer:

Identify Factors: Identify common factors in both terms. $\newline$ Both terms $x^{4}y$ and $x^{2}y$ have $x^{2}$ and $y$ as common factors.
Factor Out GCF: Factor out the greatest common factor (GCF). The GCF of $x^{4}y$ and $x^{2}y$ is $x^{2}y$ . So we factor $x^{2}y$ out of both terms. $x^{4}y + x^{2}y = x^{2}y(x^{2} + 1)$
Check Further Factoring: Check if the remaining expression inside the parentheses can be factored further. $\newline$ The expression inside the parentheses is $x^{2} + 1$ , which cannot be factored further over the real numbers because it does not have real roots.