College Algebra Polynomial Functions

Question

Given the function g(t)=(t−3)(t+2)(t−5)

its g-intercept is

its t-intercepts are

Answer 1

(t-3)(t+2)(t-5) = 0 ---> t=3 or t=-2 or t=5

so the x-intercepts of t are (3,0), (-2,0), and (5,0)

g(0) = (0-3)(0+2)(0-5) = (-3)(2)(-5) = 30,

so the y-intercept of g is (0,30)