What is the factored form of the trinormial x^2+11x+28=0

Answer: x={-7,-4}

Step-by-step explanation: Simplifying

x2 + 11x + 28 = 0

Reorder the terms:

28 + 11x + x2 = 0

Solving

28 + 11x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(7 + x) (4 + x) = 0

Subproblem 1

Set the factor ' (7 + x) ' equal to zero and attempt to solve:

Simplifying

7 + x = 0

Solving

7 + x = 0

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

Add '-7' to each side of the equation.

7 + - 7 + x = 0 + - 7

Combine like terms: 7 + - 7 = 0

0 + x = 0 + - 7

x = 0 + - 7

Combine like terms: 0 + - 7 = - 7

x = - 7

Simplifying

x = - 7

Subproblem 2

Set the factor ' (4 + x) ' equal to zero and attempt to solve:

Simplifying

4 + x = 0

Solving

4 + x = 0

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

Add '-4' to each side of the equation.

4 + - 4 + x = 0 + - 4

Combine like terms: 4 + - 4 = 0

0 + x = 0 + - 4

x = 0 + - 4

Combine like terms: 0 + - 4 = - 4

x = - 4

Simplifying

x = - 4

Solution

x = {-7, - 4}