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

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. For the first two terms, 14h^3 and -7h^2, the common factor is 7h^2. For the last two terms, 6h and -3, the common factor is 3.Factor Out Common Factors: Factor out the common factors identified in Step 1. Factor out 7h^2 from 14h^3 - 7h^2 to get 7h^2(2h - 1). Factor out 3 from 6h - 3 to get 3(2h - 1).Rewrite Using Factored Terms: Rewrite the polynomial using the factored terms. The polynomial can now be written as 7h^2(2h - 1) + 3(2h - 1).Factor Out Common Binomial Factor: Factor out the common binomial factor from the two terms. Both terms have a common binomial factor of (2h - 1). Factor out (2h - 1) to get (2h - 1)(7h^2 + 3).

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Q. Factor.

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

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. $\newline$ For the first two terms, $14h^3$ and $-7h^2$ , the common factor is $7h^2$ . $\newline$ For the last two terms, $6h$ and $-3$ , the common factor is $3$ .
Factor Out Common Factors: Factor out the common factors identified in Step $1$ . $\newline$ Factor out $7h^2$ from $14h^3 - 7h^2$ to get $7h^2(2h - 1)$ . $\newline$ Factor out $3$ from $6h - 3$ to get $3(2h - 1)$ .
Rewrite Using Factored Terms: Rewrite the polynomial using the factored terms. $\newline$ The polynomial can now be written as $7h^2(2h - 1) + 3(2h - 1)$ .
Factor Out Common Binomial Factor: Factor out the common binomial factor from the two terms. $\newline$ Both terms have a common binomial factor of $(2h - 1)$ . $\newline$ Factor out $(2h - 1)$ to get $(2h - 1)(7h^2 + 3)$ .