Factor the expression: x^2 - 5x + 6.

Factor the expression: x^2 - 5x + 6.

Step 1: Identify the expression you want to factor, which is x^2 - 5x + 6.
Step 2: Look for two numbers that multiply to the constant term (6) and add to the coefficient of the x term (-5).
Step 3: The two numbers that work are -2 and -3 because -2 * -3 = 6 and -2 + -3 = -5.
Step 4: Write the expression as a product of two binomials using the numbers found: (x - 2)(x - 3).
Step 5: Check your work by expanding (x - 2)(x - 3) to ensure it equals the original expression.

Factoring Quadratic Expressions – This involves rewriting a quadratic expression in the form ax^2 + bx + c as a product of two binomials.
Finding Roots – Identifying two numbers that multiply to the constant term and add to the linear coefficient.