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Polynomial Division

Polynomial Division

by Admin MathWit -
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Let \(f(x), p(x)\) be two polynomials. Assume than the degree of \(f(x\) is bigger than the degree of \(p(x)\), then we can find a unique quotient (polynomial) \(q(x)\) and a unique remainder polynomial \(r(x)\), such that


Question: If \(f(x)=x^3+2x+1, p(x)=x+1\), what is \(q(x)\) and \(r(x)\)?


Polynomial  long Division Quotient and Remainder

Thus, \(q(x)=x^2-x+3,   r(x)=-2 \).