Question

factor the trinomial.
$w^{2}+11wz + 30z^{2}$
$w^{2}+11wz + 30z^{2}=\square$

Explanation:

Step1: Find pair of factors for 30

We need two numbers that multiply to $30$ and add to $11$. The pair $5$ and $6$ satisfies this, since $5 \times 6 = 30$ and $5 + 6 = 11$.

Step2: Split middle term and factor

Rewrite the trinomial as a product of two binomials, using the factors found. The first term of each binomial is $w$, and the second terms are $5z$ and $6z$.
$$w^2 + 11wz + 30z^2 = (w + 5z)(w + 6z)$$

Answer:

$(w + 5z)(w + 6z)$