Factor. 9y^12 + 4y^5 - y^2 _____

Identify GCF: Identify the greatest common factor (GCF) of the terms in the polynomial 9y^12 + 4y^5 - y^2. The GCF of 9y^12, 4y^5, and y^2 is y^2.Factor out GCF: Factor out the GCF from each term in the polynomial. 9y^12 ÷ y^2 = 9y^10 4y^5 ÷ y^2 = 4y^3 -y^2 ÷ y^2 = -1 So, 9y^12 + 4y^5 - y^2 = y^2(9y^10 + 4y^3 - 1)Check for further factoring: Check if the remaining polynomial 9y^10 + 4y^3 - 1 can be factored further. The polynomial 9y^10 + 4y^3 - 1 does not have any common factors and does not fit any special factoring patterns (such as a difference of squares or a perfect square trinomial). It also does not factor nicely with integer coefficients. Therefore, it cannot be factored further.

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Factor. $\newline$ $9y^{12} + 4y^5 - y^2$ $\newline$ ______

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Q. Factor.

\newline

9y^{12} + 4y^5 - y^2

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______

Identify GCF: Identify the greatest common factor (GCF) of the terms in the polynomial $9y^{12} + 4y^5 - y^2$ . The GCF of $9y^{12}$ , $4y^5$ , and $y^2$ is $y^2$ .
Factor out GCF: Factor out the GCF from each term in the polynomial. $\newline$ $9y^{12} \div y^{2} = 9y^{10}$ $\newline$ $4y^{5} \div y^{2} = 4y^{3}$ $\newline$ $-y^{2} \div y^{2} = -1$ $\newline$ So, $9y^{12} + 4y^{5} - y^{2} = y^{2}(9y^{10} + 4y^{3} - 1)$
Check for further factoring: Check if the remaining polynomial $9y^{10} + 4y^3 - 1$ can be factored further. $\newline$ The polynomial $9y^{10} + 4y^3 - 1$ does not have any common factors and does not fit any special factoring patterns (such as a difference of squares or a perfect square trinomial). It also does not factor nicely with integer coefficients. Therefore, it cannot be factored further.