Question

factor the trinomial, or state that the trinomial is prime.
y² - 18y + 77
select the correct choice below and, if necessary, fill in the answer box within your choice.
a. y² - 18y + 77 =
b. the polynomial is prime.

Explanation:

Step1: Find pair of factors of 77

We need two numbers that multiply to $77$ and add up to $-18$. These numbers are $-7$ and $-11$, since $(-7)\times(-11)=77$ and $(-7)+(-11)=-18$.

Step2: Factor the trinomial

Write the trinomial as a product of two binomials using the found factors:
$y^2 - 18y + 77=(y-7)(y-11)$

Answer:

A. $y^{2}-18y+77=(y-7)(y-11)$