For each polynomial function, complete the following in order.

(a) Use Descartes’ rule of signs to determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros.

(b) Use the rational zeros theorem to determine the possible rational zeros.

(c) Use synthetic division with the boundedness theorem where appropriate and/or factoring to find the rational zeros, if any.

(d) Find all other complex zeros (both real and nonreal), if any.

ƒ(x) = 2x⁴ + 8x³ - 7x² - 42x - 9