Factor. 4n^3 - 16n^2 + 3n - 12 ______

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. For the first two terms, 4n^3 and -16n^2, the common factor is 4n^2. For the last two terms, 3n and -12, the common factor is 3.Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms. 4n^3 - 16n^2 = 4n^2(n - 4) 3n - 12 = 3(n - 4)Write Factored Expression: Write the expression with the factored terms. 4n^3 - 16n^2 + 3n - 12 = 4n^2(n - 4) + 3(n - 4)Factor Out Binomial Factor: Factor out the common binomial factor (n - 4). 4n^2(n - 4) + 3(n - 4) = (4n^2 + 3)(n - 4)

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Q. Factor.

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4n^3 - 16n^2 + 3n - 12

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. $\newline$ For the first two terms, $4n^3$ and $-16n^2$ , the common factor is $4n^2$ . $\newline$ For the last two terms, $3n$ and $-12$ , the common factor is $3$ .
Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms. $\newline$ $4n^3 - 16n^2 = 4n^2(n - 4)$ $\newline$ $3n - 12 = 3(n - 4)$
Write Factored Expression: Write the expression with the factored terms. $4n^3 - 16n^2 + 3n - 12 = 4n^2(n - 4) + 3(n - 4)$
Factor Out Binomial Factor: Factor out the common binomial factor $(n - 4)$ . $4n^2(n - 4) + 3(n - 4) = (4n^2 + 3)(n - 4)$