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

Identify Common Factors: Step Title: Identify Common Factors Concise Step Description: Look for any common factors in all terms of the polynomial. Calculation: The common factor in all terms is 1. Math Error Check: Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Group terms to find common factors within them and factor them out. Calculation: Group the first two terms and the last two terms: (5m^3 - 15m^2) + (3m - 9). Factor out the common factors: 5m^2(m - 3) + 3(m - 3). Math Error Check: Factor Out the Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the two groups. Calculation: The common binomial factor is (m - 3). Factoring it out gives (m - 3)(5m^2 + 3). Math Error Check:

Home

Math Problems

Algebra 2

Factor polynomials

Full solution

Q. Factor.

\newline

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

Identify Common Factors: Step Title: Identify Common Factors $\newline$ Concise Step Description: Look for any common factors in all terms of the polynomial. $\newline$ Calculation: The common factor in all terms is $1$ . $\newline$ Math Error Check:
Factor by Grouping: Step Title: Factor by Grouping $\newline$ Concise Step Description: Group terms to find common factors within them and factor them out. $\newline$ Calculation: Group the first two terms and the last two terms: $(5m^3 - 15m^2) + (3m - 9)$ . Factor out the common factors: $5m^2(m - 3) + 3(m - 3)$ . $\newline$ Math Error Check:
Factor Out the Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the two groups. Calculation: The common binomial factor is $(m - 3)$ . Factoring it out gives $(m - 3)(5m^2 + 3)$ . Math Error Check: