Question

factor. $x^2 - 11x + 30$

Explanation:

Step1: Find two terms for factoring

We need two numbers that multiply to $30$ and add to $-11$. These numbers are $-5$ and $-6$, since $(-5)\times(-6)=30$ and $(-5)+(-6)=-11$.

Step2: Rewrite trinomial as factored form

Substitute the numbers into the binomial factors: $(x - 5)(x - 6)$

Answer:

$(x - 5)(x - 6)$