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

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}

don't know sorry bru

step-by-step explanation:

step-by-step explanation: