Factor. 14w^3 - 6w^2 + 7w - 3 ______

Identify Common Factors: Look for common factors in each pair of terms. We can pair the terms as (14w^3 - 6w^2) and (7w - 3) to look for common factors.Factor First Pair: Factor out the greatest common factor from the first pair of terms. The greatest common factor of 14w^3 and 6w^2 is 2w^2. So, 14w^3 - 6w^2 = 2w^2(7w - 3).Factor Second Pair: Factor out the greatest common factor from the second pair of terms. The greatest common factor of 7w and 3 is 1, and there is no common factor other than 1. So, 7w - 3 remains unchanged.Check for Common Binomial Factor: Check if there is a common binomial factor in both expressions. We have 2w^2(7w - 3) and 7w - 3. The common binomial factor is (7w - 3).Factor out Common Binomial Factor: Factor out the common binomial factor. We can write the expression as (7w - 3)(2w^2 + 1).

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Q. Factor.

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14w^3 - 6w^2 + 7w - 3

Identify Common Factors: Look for common factors in each pair of terms. We can pair the terms as $(14w^3 - 6w^2)$ and $(7w - 3)$ to look for common factors.
Factor First Pair: Factor out the greatest common factor from the first pair of terms. $\newline$ The greatest common factor of $14w^3$ and $6w^2$ is $2w^2$ . $\newline$ So, $14w^3 - 6w^2 = 2w^2(7w - 3)$ .
Factor Second Pair: Factor out the greatest common factor from the second pair of terms. $\newline$ The greatest common factor of $7w$ and $3$ is $1$ , and there is no common factor other than $1$ . $\newline$ So, $7w - 3$ remains unchanged.
Check for Common Binomial Factor: Check if there is a common binomial factor in both expressions. $\newline$ We have $2w^2(7w - 3)$ and $7w - 3$ . The common binomial factor is $(7w - 3)$ .
Factor out Common Binomial Factor: Factor out the common binomial factor. $\newline$ We can write the expression as $(7w - 3)(2w^2 + 1)$ .