The primary objective of this study is to evaluate the objective response rate of pazopanib in combination with paclitaxel in the treatment of subjects with advanced NSCLC. Tumor response will be assessed according to the Response Evaluation Criteria in Solid Tumors (RECIST) criteria (version 1.1). A subject is defined as a responder if he/she sustains a complete response (CR) or a partial response (PR) for at least 4 weeks at any time during treatment. A subject without a post-baseline assessment of response will be considered a non-responder.