Factor. 20z^3 + 10z^2 + 18z + 9 ______

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. For the first two terms, 20z^3 and 10z^2, the common factor is 10z^2. For the last two terms, 18z and 9, the common factor is 9.Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms. Factor out 10z^2 from 20z^3 + 10z^2 to get 10z^2(2z + 1). Factor out 9 from 18z + 9 to get 9(2z + 1).Write New Expression: Write down the new expression using the factored terms. The new expression is 10z^2(2z + 1) + 9(2z + 1).Factor Out Binomial Factor: Factor out the common binomial factor (2z + 1) from the two terms. The factored form is (2z + 1)(10z^2 + 9).

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Q. Factor.

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20z^3 + 10z^2 + 18z + 9

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. $\newline$ For the first two terms, $20z^3$ and $10z^2$ , the common factor is $10z^2$ . $\newline$ For the last two terms, $18z$ and $9$ , the common factor is $9$ .
Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms. $\newline$ Factor out $10z^2$ from $20z^3 + 10z^2$ to get $10z^2(2z + 1)$ . $\newline$ Factor out $9$ from $18z + 9$ to get $9(2z + 1)$ .
Write New Expression: Write down the new expression using the factored terms. $\newline$ The new expression is $10z^2(2z + 1) + 9(2z + 1)$ .
Factor Out Binomial Factor: Factor out the common binomial factor $(2z + 1)$ from the two terms. $\newline$ The factored form is $(2z + 1)(10z^2 + 9)$ .