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2010 AMC 12A Question 21

AMC12 · 2010 AMC 12A

Question 21

The graph of $y=x^6-10x^5$ $+29x^4-4x^3+ax^2$ lies above the line $y=bx+c$ except at three values of $x,$ where the graph and the line intersect. What is the largest of those values?
  1. $4$
  2. $5$
  3. $6$
  4. $7$
  5. $8$