The expression in the image is:

$x^2 - 7x + 12$

To solve or factor this quadratic expression, we look for two numbers that multiply to $12$ (the constant term) and add up to $-7$ (the coefficient of $x$).

Step-by-Step Factoring:

1. Identify the coefficients: The quadratic is of the form $ax^2 + bx + c$, where $a = 1$, $b = -7$, and $c = 12$.
2. Find two numbers that multiply to $c$ and add to $b$:
   • The numbers that multiply to $12$ and add up to $-7$ are $-3$ and $-4$.
3. Factor the quadratic expression: $x^2 - 7x + 12 = (x - 3)(x - 4)$

So, the factorization of the quadratic expression is:

$(x - 3)(x - 4)$

Would you like any further details or explanations?

Here are 5 related questions you might find useful:

1. What is the quadratic formula, and how can it be used to solve quadratics?
2. How do you complete the square for a quadratic expression?
3. What are the solutions (roots) of the equation $x^2 - 7x + 12 = 0$?
4. How can you graph the quadratic function $x^2 - 7x + 12$?
5. What are the applications of quadratic equations in real-world problems?

Tip: Always check your factored form by expanding it back out to ensure it matches the original expression!