Difference between revisions of "2022 AMC 10B Problems/Problem 21"
(Created page with "==Problem== Let <math>P(x)</math> be a polynomial with rational coefficients such that when <math>P(x)</math> is divided by the polynomial <math>x^2 + x + 1</math>, the remai...") |
Mathischess (talk | contribs) |
||
Line 7: | Line 7: | ||
==Video Solution== | ==Video Solution== | ||
+ | |||
+ | https://youtu.be/yGUur4vP_6k | ||
+ | |||
+ | ~ ThePuzzlr | ||
https://youtu.be/ELdhkqVyB9E | https://youtu.be/ELdhkqVyB9E | ||
~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com) | ~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com) |
Revision as of 21:20, 17 November 2022
Problem
Let be a polynomial with rational coefficients such that when is divided by the polynomial , the remainder is , and when is divided by the polynomial , the remainder is . There is a unique polynomial of least degree with these two properties. What is the sum of the squares of the coefficients of that polynomial?
Video Solution
~ ThePuzzlr
~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com)