I'm also wondering at the confident boasts in the various responses...
I actually came to this page because I have the same question "How Google Adwords Can Impact SEO Ranking ?" My interest came up as I was looking at the "landing page experience" part of the Quality Score.
The section on Google's support page (https://support.google.com/adwords/answer/2404197) seems to imply that Google crawls and checks/indexes the landingpage to score it. I'm wondering if these pages are added to your indexed pages as reported in Webmaster Tools? Is Google taking this page into account for organic results? If the page was already indexed for SEO, does this 'second' scan impact the your SEO performance of the page. Or if the page is for SEA only; how do you prevent it from being indexed for organic results?