SOLUTION: Let p(x) be a nonzero polynomial with real coefficients such that P(x) = p(0)+p(1) x+p(2) x², holds for all x What are the roots of p(x)?

SOLUTION: Let p(x) be a nonzero polynomial with real coefficients such that P(x) = p(0)+p(1) x+p(2) x², holds for all x What are the roots of p(x)?

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Question 1149173: Let p(x) be a nonzero polynomial with real coefficients such that
P(x) = p(0)+p(1) x+p(2) x², holds for all x
What are the roots of p(x)?
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.

The roots can be found using the quadratic formula.

See the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.

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