Factor: p^2 + 12p + 11.

Simplifying

p2 + - 12p + 11 = 0

Reorder the terms:

11 + - 12p + p2 = 0

Solving

11 + - 12p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.

(1 + - 1p) (11 + - 1p) = 0

Subproblem 1

Set the factor ' (1 + - 1p) ' equal to zero and attempt to solve:

Simplifying

1 + - 1p = 0

Solving

1 + - 1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + - 1 + - 1p = 0 + - 1

Combine like terms: 1 + - 1 = 0

0 + - 1p = 0 + - 1

-1p = 0 + - 1

Combine like terms: 0 + - 1 = - 1

-1p = - 1

Divide each side by '-1'.

p = 1

Simplifying

p = 1

Subproblem 2

Set the factor ' (11 + - 1p) ' equal to zero and attempt to solve:

Simplifying

11 + - 1p = 0

Solving

11 + - 1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + - 11 + - 1p = 0 + - 11

Combine like terms: 11 + - 11 = 0

0 + - 1p = 0 + - 11

-1p = 0 + - 11

Combine like terms: 0 + - 11 = - 11

-1p = - 11

Divide each side by '-1'.

p = 11

Simplifying

p = 11

Solution

p = {1, 11}