This is a quadratic trinomial for 8th class solve it

 QSquare+ 11x - 28

The expression you've provided, \( Q^2 + 11x - 28 \), seems to be a quadratic trinomial, but there seems to be a mix-up in the variables. Usually, quadratic trinomials involve only one variable, typically represented as \( x \). Assuming you meant to write \( x^2 + 11x - 28 \), I'll solve this quadratic equation.

### Step 1: Write the quadratic equation
\[ x^2 + 11x - 28 = 0 \]

### Step 2: Factor the quadratic trinomial
We need to find two numbers that multiply to \(-28\) (the constant term) and add up to \(11\) (the coefficient of the \(x\) term).

These two numbers are \(14\) and \(-2\), because:
\[ 14 \times (-2) = -28 \]
\[ 14 + (-2) = 12 \]

### Step 3: Write the factored form
So, the quadratic trinomial factors as:
\[ (x + 14)(x - 2) = 0 \]

### Step 4: Solve for \(x\)
To find the solutions, set each factor equal to zero:
\[ x + 14 = 0 \quad \text{or} \quad x - 2 = 0 \]

Solving these gives:
\[ x = -14 \quad \text{or} \quad x = 2 \]

### Final Answer
The solutions to the quadratic equation \( x^2 + 11x - 28 = 0 \) are:
\[ x = -14 \quad \text{or} \quad x = 2 \]

Would you like more details on any step or have any other questions?

Here are some related questions you might consider:

1. How do you solve a quadratic equation using the quadratic formula?
2. What is the significance of the discriminant in a quadratic equation?
3. Can every quadratic trinomial be factored into real numbers?
4. How do you complete the square for a quadratic equation?
5. What are the applications of quadratic equations in real life?
6. How do you graph a quadratic function?
7. What is the vertex form of a quadratic equation?
8. How do you determine the axis of symmetry for a quadratic function?

**Tip:** When factoring quadratic trinomials, always check if the trinomial can be factored easily before applying the quadratic formula.

Learn how to solve the quadratic trinomial x^2 + 11x - 28 with a step-by-step solution. This problem covers key algebraic concepts such as factoring quadratic trinomials and the quadratic equation formula. Suitable for Grade 8 students.

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