I do not know how to solve these.

State whether the function f(x) = x(x - 9) is a polynomial function or not. If it is, give its degree. If it is not, tell why not.

Select one:

a. Yes; degree 2

b. No; it is a product

c. Yes; degree 0

d. Yes; degree 1

Use the Intermediate Value Theorem to determine whether the polynomial function f(x) = -4x⁴ - 9x² + 4; has a zero in the interval [-1, 0].

Select one:

a. f(-1) = -9 and f(0) = -4; no

b. f(-1) = 9 and f(0) = 5; no

c. f(-1) = 9 and f(0) = -4; yes

d. f(-1) = -9 and f(0) = 4; yes