Final Answer
Step-by-step Solution
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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($9$) to all terms
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$9\left(z^2+\frac{10}{3}z+\frac{25}{9}\right)$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square 9z^2+30z+25. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (9) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial z^2+\frac{10}{3}zz+\frac{25}{9}. Subtract the values \frac{25}{9} and -\frac{25}{9}.