Use the graph to write a polynomial function of least degree.

Question

Use the graph to write a polynomial function of least degree.

The points are (-2/3,0), (0,-8),(4/3,0)

Answer 1

(-2/3, 0) and (4/3, 0) are x-intercepts and (0,8) is the y-intercept

then x = -2/3 and x=4/3 are solutions, so it has to be quadratic

then 3x+2 and 3x-4 are factors

f(x) = (3x+2)(3x-4) = 9x^2 - 6x - 8

Note that f(0) = -8 so (0,-8) is the y-intercept as given