Factor. j^3 + 2j^2 + 5j + 10 ______

Grouping terms: We will look for common factors in pairs of terms. First, we will factor the polynomial by grouping. We will group the first two terms together and the last two terms together.Factoring first group: Factor out the greatest common factor from the first group, j^3 + 2j^2. The greatest common factor is j^2. j^3 + 2j^2 = j^2(j + 2)Factoring second group: Now, factor out the greatest common factor from the second group, 5j + 10. The greatest common factor is 5. 5j + 10 = 5(j + 2)Factoring common factor: We now have two groups factored as follows: j^3 + 2j^2 + 5j + 10 = j^2(j + 2) + 5(j + 2) Notice that (j + 2) is a common factor in both groups.Final factored form: Factor out the common factor (j + 2) from both groups. (j^2 + 5)(j + 2) This is the factored form of the polynomial.

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Factor. $\newline$ $j^3 + 2j^2 + 5j + 10$

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Q. Factor.

\newline

j^3 + 2j^2 + 5j + 10

Grouping terms: We will look for common factors in pairs of terms. First, we will factor the polynomial by grouping. We will group the first two terms together and the last two terms together.
Factoring first group: Factor out the greatest common factor from the first group, $j^3 + 2j^2$ . The greatest common factor is $j^2$ . $\newline$ $j^3 + 2j^2 = j^2(j + 2)$
Factoring second group: Now, factor out the greatest common factor from the second group, $5j + 10$ . The greatest common factor is $5$ . $\newline$ $5j + 10 = 5(j + 2)$
Factoring common factor: We now have two groups factored as follows: $\newline$ $j^3 + 2j^2 + 5j + 10 = j^2(j + 2) + 5(j + 2)$ $\newline$ Notice that $(j + 2)$ is a common factor in both groups.
Final factored form: Factor out the common factor $(j + 2)$ from both groups. $\newline$ $(j^2 + 5)(j + 2)$ $\newline$ This is the factored form of the polynomial.