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Factor. $\newline$ $9z^2 + 30z + 25$

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Factor quadratics

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Q. Factor.

\newline

9z^2 + 30z + 25

Identify Perfect Square Trinomial: Look at the quadratic and see if it's a perfect square trinomial.
Rewrite $9z^2$ : Rewrite $9z^2$ as $(3z)^2$ .
Rewrite $25$ : Rewrite $25$ as $5^2$ .
Check Middle Term: Check if the middle term, $30z$ , is equal to $2\times(3z)\times(5)$ .
Confirm Perfect Square Trinomial: Since $2\times(3z)\times 5$ equals $30z$ , we have a perfect square trinomial.
Write Factored Form: Write the factored form as $(3z + 5)^2$ .

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