Factor. 2n^3 + n^2 + 16n + 8 ______

Group terms for factoring: Look for common factors in pairs of terms. We will first group the terms into pairs to see if we can factor by grouping. Group the first two terms and the last two terms: (2n^3 + n^2) + (16n + 8).Factor first group: Factor out the greatest common factor from the first group. The greatest common factor of 2n^3 and n^2 is n^2. Factor out n^2: n^2(2n + 1).Factor second group: Factor out the greatest common factor from the second group. The greatest common factor of 16n and 8 is 8. Factor out 8: 8(2n + 1).Write factored polynomial: Write the factored form of the polynomial. We have factored both groups and found a common binomial factor (2n + 1). Combine the factored groups: (n^2 + 8)(2n + 1).

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Algebra 2

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Q. Factor.

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2n^3 + n^2 + 16n + 8

Group terms for factoring: Look for common factors in pairs of terms. $\newline$ We will first group the terms into pairs to see if we can factor by grouping. $\newline$ Group the first two terms and the last two terms: $(2n^3 + n^2) + (16n + 8)$ .
Factor first group: Factor out the greatest common factor from the first group. $\newline$ The greatest common factor of $2n^3$ and $n^2$ is $n^2$ . $\newline$ Factor out $n^2$ : $n^2(2n + 1)$ .
Factor second group: Factor out the greatest common factor from the second group. $\newline$ The greatest common factor of $16n$ and $8$ is $8$ . $\newline$ Factor out $8$ : $8(2n + 1)$ .
Write factored polynomial: Write the factored form of the polynomial. $\newline$ We have factored both groups and found a common binomial factor $(2n + 1)$ . $\newline$ Combine the factored groups: $(n^2 + 8)(2n + 1)$ .