Question

One x-intercept for a parabola is at the point

(1,0). Use the factor method to find the other x-
intercept for the parabola defined by this
equation:
y=x2 – 7x + 6
Separate the values with a comma.

Answer 1

x = 6 corresponds to the x-intercept (6, 0), and

x = 1 corresponds to the x- intercept (1, 0)

Explanation:

Factor y = x^2 – 7x + 6: x^2 – 7x + 6 = (x - 6)(x - 1)

Set each factor = to 0 and solve the resulting equation for x:

x = 6 and x = 1.

x = 6 corresponds to the x-intercept (6, 0), and

x = 1 corresponds to the x- intercept (1, 0)