Question

1. (S8) Polynomial Functions - Part 1

A. Let ƒ (x) = − ²⁄xª - 6x5 + 2x. What is the leading term of the polynomial? Explain in one sentence

how you know.

B. Let f (x) = 4(7x − 3)² (x + 4)

1) What is the leading term of the polynomial?

2) Write out the end behavior of f (x) using mathematical notation. Explain in one sentence how you

know the end behavior of f (x) by using the leading term.

3) Use algebra to find the zeros of f (x). Keep your answer in fractional form.

4) Explain the behavior of f (x) near its zeros.

5) Use algebra to find the y-intercept of f(x). Keep your answer in fractional form.