Answer:
(x + 11)²
Explanation:
x² + 22x + 121
consider the factors of the constant term (+ 121) which sum to give the coefficient of the x- term (+ 22)
the factors a + 11 and + 11 , since
11 × 11 = 121 and 11 + 11 = 22 , then
x² + 22x + 121 = (x + 11)(x + 11) = (x + 11)² ← in factored form