Question

factor completely.
$x^2 - 12x + 35$
enter your answer in the box.

Explanation:

Step1: Find pair of factors of 35

We need two numbers that multiply to $35$ and add to $-12$. These numbers are $-5$ and $-7$, since $(-5)\times(-7)=35$ and $(-5)+(-7)=-12$.

Step2: Rewrite trinomial as factored form

Use the two numbers to write the quadratic as a product of binomials.
$x^2 -12x +35=(x-5)(x-7)$

Answer:

$(x-5)(x-7)$