Janelle S. answered • 05/28/20

Penn State Grad for ME, Math & Test Prep Tutoring (10+ yrs experience)

x = 2, 2, 2, -1/2

Use the zeros to get:

y = (x - 2)^{3} (x + 1/2)

Multiply factors to get:

y = x^{4} - (11/2)x^{3} + 9x^{2} - 2x - 4

Check the y-intercept:

y(0) = (0)^{4} - (11/2)(0)^{3} + 9(0)^{2} - 2(0) - 4 = -4

The above function already has a y-intercept of (0,-4) so there is no need to alter it. Your final equation is:

y = x^{4} - (11/2)x^{3} + 9x^{2} - 2x - 4