Answer:
a) 8
b) -3.2, 0.8
c) see attached
Step-by-step explanation:
a) The y-intercept is the value of the expression when x=0. Since all the x-terms vanish in that case, the y-intercept is the constant, 8. Expressed as an ordered pair, it is (0, 8).
b) I personally find it useful to use graphing to find the x-intercepts to low or moderate precision. The attached shows them to be -3.2 and +0.8. (Graphing is my "process.")
The quadratic formula can be useful for finding the zeros when there is no obvious factorization. Here, we have a=-3, b=-7, c=8 to put into the formula
... x = (-b±√(b²-4ac))/(2a)
... x = (-(-7)±√((-7)²-4(-3)(8)))/(2(-3)) = (7±√145)/-6 ≈ -1.167 ± 2.007
... x ≈ {-3.2, 0.8}
