Factor. 5j^3 + 10j^2 + 7j + 14 ______

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. For the first two terms, 5j^3 and 10j^2, the common factor is 5j^2. For the last two terms, 7j and 14, the common factor is 7.Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms. 5j^3 + 10j^2 = 5j^2(j + 2) 7j + 14 = 7(j + 2)Combine Factored Parts: Now, we have factored the polynomial into two parts: 5j^2(j + 2) and 7(j + 2). We can see that (j + 2) is a common factor in both parts.Factor Out Final Common Factor: Factor out the common factor (j + 2) from both parts. 5j^2(j + 2) + 7(j + 2) = (5j^2 + 7)(j + 2)

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Q. Factor.

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5j^3 + 10j^2 + 7j + 14

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. $\newline$ For the first two terms, $5j^3$ and $10j^2$ , the common factor is $5j^2$ . $\newline$ For the last two terms, $7j$ and $14$ , the common factor is $7$ .
Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms. $\newline$ $5j^3 + 10j^2 = 5j^2(j + 2)$ $\newline$ $7j + 14 = 7(j + 2)$
Combine Factored Parts: Now, we have factored the polynomial into two parts: $5j^2(j + 2)$ and $7(j + 2)$ . We can see that $(j + 2)$ is a common factor in both parts.
Factor Out Final Common Factor: Factor out the common factor $(j + 2)$ from both parts. $\newline$ $5j^2(j + 2) + 7(j + 2) = (5j^2 + 7)(j + 2)$