1. Consider the equation y = (x-4)(x+2).

a. Write down the coordinates of the points where you think the graph crosses the x-axis for this equation.

b. Use your graphing calculator to check your guess about the x intercepts.

c. Write the equation above in standard form as a sum of terms without parentheses.

d. Substitute each value you found for x in part b) into the equation you wrote in part c) to check that the result is y = 0.

2. Consider the equation y = (x+1)(3x-4).

a. Guess the x-intercepts for the graph of this equation.

b. Check your guess using your graphing calculator.

c. Write the equation above in standard form as a sum of terms without parentheses.

d. Substitute each value you found for x in part b) into the equation you wrote in part c) to check that the result is y = 0.

3. Consider the equation y = x2 - 4x + 3.

a. do equation in factored form, so you could guess the x intercepts for its graph.

b. What are the x-intercepts for the graph of this equation?

c. Check your guess using your graphing calculator.

d. Substitute the values you found for x in part b) into the original equation to check that the result for each one is y = 0.