Find the x-intercepts of the equation x² − 4x + 3 = 0.

Correct answer: 1, 3. Factorising gives (x − 1)(x − 3) = 0, so x = 1 or x = 3.

Background: The x-intercepts are the points where the graph crosses the x-axis (y = 0).

• −1, 3: −1 is not a root.
• 0, 3: 0 is not a root.
• 3, 4: 4 is not a root.

Did you know? For x² + bx + c, find two numbers with product c and sum b: here −1 and −3.

Memory trick: x-intercepts = roots.