Factor. 9p^3 - 15p^2 + 3p - 5 ______

Identify GCF: Step Title: Identify the Greatest Common Factor (GCF) Concise Step Description: Find the greatest common factor of all the terms in the polynomial. Step Calculation: The GCF of 9p^3, 15p^2, 3p, and 5 is 1. Step Output: GCF: 1Group Terms: Step Title: Group Terms Concise Step Description: Group terms in pairs to factor by grouping. Step Calculation: Group (9p^3 - 15p^2) and (3p - 5). Step Output: Grouped terms: (9p^3 - 15p^2) + (3p - 5)Factor Out GCF: Step Title: Factor Out the GCF from Each Group Concise Step Description: Factor out the greatest common factor from each group. Step Calculation: Factor out 3p^2 from the first group and 1 from the second group. Step Output: Factored groups: 3p^2(3p - 5) + 1(3p - 5)Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Factor out the common binomial factor from the grouped terms. Step Calculation: Factor out (3p - 5) from both groups. Step Output: Factored form: (3p - 5)(3p^2 + 1)

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Algebra 2

Factor polynomials

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Q. Factor.

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9p^3 - 15p^2 + 3p - 5

Identify GCF: Step Title: Identify the Greatest Common Factor (GCF) $\newline$ Concise Step Description: Find the greatest common factor of all the terms in the polynomial. $\newline$ Step Calculation: The GCF of $9p^3$ , $15p^2$ , $3p$ , and $5$ is $1$ . $\newline$ Step Output: GCF: $1$
Group Terms: Step Title: Group Terms $\newline$ Concise Step Description: Group terms in pairs to factor by grouping. $\newline$ Step Calculation: Group $(9p^3 - 15p^2)$ and $(3p - 5)$ . $\newline$ Step Output: Grouped terms: $(9p^3 - 15p^2) + (3p - 5)$
Factor Out GCF: Step Title: Factor Out the GCF from Each Group $\newline$ Concise Step Description: Factor out the greatest common factor from each group. $\newline$ Step Calculation: Factor out $3p^2$ from the first group and $1$ from the second group. $\newline$ Step Output: Factored groups: $3p^2(3p - 5) + 1(3p - 5)$
Factor by Grouping: Step Title: Factor by Grouping $\newline$ Concise Step Description: Factor out the common binomial factor from the grouped terms. $\newline$ Step Calculation: Factor out $(3p - 5)$ from both groups. $\newline$ Step Output: Factored form: $(3p - 5)(3p^2 + 1)$