Question

How do you factor 11x2+122x+11?

Answer 1

Answer:

(11x + 1)(x + 11)

Step-by-step explanation:

Given :

To factorize the expression

11 x ² + 122 x + 11

Solution :

By splitting the middle term,

We can factorize them as follows :

11 x ² + 122 x + 11

⇒ 11 x ² + 121 x + 11

⇒ 11x(x + 11) + (x + 11)

⇒(11x + 1)(x + 11)

∴ 11 x ² + 122 x + 11 = (11x + 1)(x + 11)

∴ The factors of the expression 11 x ² + 122 x + 11 are (11x + 1) and (x + 11).