Activity 1. Let's Explore! Consider the polynomial function y = x3 - 4x2 + x + 6.
1. In what form is the polynomial function written?
2. Rewrite the function as a product of its linear and/or quadratic factors.
3. What do you call that kind of intercept which can be obtained from the factors of the polynomial
function?
4. How do you determine the x-intercepts?
5. What do x-intercepts imply regarding the graphs of polynomial functions?
6. Is there a relationship between the factors and the x-intercepts obtained? How else can they be called?
7. What about the y-intercept, how is it obtained?
8. What does this imply regarding the graph of the given polynomial function?​