College Algebra (2212

Checkpoint Quiz 3.3

Name:

1. Let p(x) = 3x5 + 3x4 − 6x3 − 15x2 − 15x − 6.

(a) Use the Rational Zeros Theorem to generate a list of potential rational zeros.

(b) Use Descartes’ Rule of Signs to find the possible number of positive and negative real zeros.

(c) Find all real zeros of p and state their multiplicities.

(d) Sketch the graph of y = p(x). Be sure find:

i. the y-intercept ii. the end behavior

iii. the x-intercepts

2. Solve: 2x3 + 3 ≥ x2 + 4x.