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Problem 7. Assume that a subset S of polynomials with real coefficients has a property: If polynomials...

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Advance Math

Problem 7. Assume that a subset S of polynomials with realcoefficients has a property:
If polynomials a(x), b(x) are from S and n(x), m(x) are any twopolynomials with real coefficients, then polynomial a(x)n(x) +m(x)n(x) is again in S. Prove that there is a polynomial d(x) fromS, such that any other polynomial from S is a multiple of d(x).

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7 Given be subset of polynomials with real coecients and has a propertyIf and are any two polynomial with real coefficient then Define degree    See Answer
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