Factor. 5z^3 + 5z^2 + 3z + 3 ______

Identify Common Factors: Look for common factors in each pair of terms. We can group the polynomial into two pairs: (5z^3 + 5z^2) and (3z + 3). Now, factor out the greatest common factor from each pair. For the first pair, the greatest common factor is 5z^2. For the second pair, the greatest common factor is 3.Factor Out Common Factors: Factor out the common factors from each pair. 5z^3 + 5z^2 becomes 5z^2(z + 1). 3z + 3 becomes 3(z + 1). Now we have 5z^2(z + 1) + 3(z + 1).Find Common Binomial Factor: Look for a common binomial factor. We can see that (z + 1) is a common factor in both terms. Factor out (z + 1) from the expression. So, the factored form of 5z^3 + 5z^2 + 3z + 3 is (z + 1)(5z^2 + 3).

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Q. Factor.

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5z^3 + 5z^2 + 3z + 3

Identify Common Factors: Look for common factors in each pair of terms. $\newline$ We can group the polynomial into two pairs: $5z^3 + 5z^2$ and $3z + 3$ . $\newline$ Now, factor out the greatest common factor from each pair. $\newline$ For the first pair, the greatest common factor is $5z^2$ . $\newline$ For the second pair, the greatest common factor is $3$ .
Factor Out Common Factors: Factor out the common factors from each pair. $\newline$ $5z^3 + 5z^2$ becomes $5z^2(z + 1)$ . $\newline$ $3z + 3$ becomes $3(z + 1)$ . $\newline$ Now we have $5z^2(z + 1) + 3(z + 1)$ .
Find Common Binomial Factor: Look for a common binomial factor. $\newline$ We can see that $(z + 1)$ is a common factor in both terms. $\newline$ Factor out $(z + 1)$ from the expression. $\newline$ So, the factored form of $5z^3 + 5z^2 + 3z + 3$ is $(z + 1)(5z^2 + 3)$ .