Factor. 4vw - 12v + w - 3 ______

Group Terms: Step Title: Group Terms Concise Step Description: Group terms that have common factors. Step Calculation: Group (4vw - 12v) and (w - 3) together. Step Output: (4vw - 12v) + (w - 3)Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Factor out the greatest common factor from each group. Step Calculation: Factor out 4v from the first group and 1 from the second group. Step Output: 4v(v - 3) + 1(w - 3)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the two groups. Step Calculation: The common binomial factor is (v - 3). Step Output: (v - 3)(4v + 1)

Home

Math Problems

Algebra 2

Factor polynomials

Full solution

Q. Factor.

\newline

4vw - 12v + w - 3

Group Terms: Step Title: Group Terms $\newline$ Concise Step Description: Group terms that have common factors. $\newline$ Step Calculation: Group $(4vw - 12v)$ and $(w - 3)$ together. $\newline$ Step Output: $(4vw - 12v) + (w - 3)$
Factor by Grouping: Step Title: Factor by Grouping $\newline$ Concise Step Description: Factor out the greatest common factor from each group. $\newline$ Step Calculation: Factor out $4v$ from the first group and $1$ from the second group. $\newline$ Step Output: $4v(v - 3) + 1(w - 3)$
Factor Out Common Binomial: Step Title: Factor Out the Common Binomial $\newline$ Concise Step Description: Factor out the common binomial factor from the two groups. $\newline$ Step Calculation: The common binomial factor is $(v - 3)$ . $\newline$ Step Output: $(v - 3)(4v + 1)$