Question

Use a geometric model to factor x² - 6x + 8 by following these steps.

Answer 1

To factor x² - 6x + 8, use a geometric model to find the factors: (x - 2)(x - 4). This results in two possible solutions: x = 2 or x = 4.

Step-by-step explanation:

1. Rewrite the given quadratic equation: x² - 6x + 8 = 0.
2. Factor the quadratic equation, if possible, using a geometric model. In this case, the equation can be factored as (x - 2)(x - 4) = 0.
3. Solve for x by setting each factor equal to zero: x - 2 = 0 or x - 4 = 0.
4. Solve each equation to find the values of x: x = 2 or x = 4.