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If s = −1, what is the degree of (s + 1)x⁵ + (s + 4)x² + 8?

Answer and explanation

Correct answer: 2

Put s = −1 into the coefficients. Then s + 1 = 0, so the x⁵ term vanishes, while s + 4 = 3, so the x² term becomes 3x². The polynomial is therefore 3x² + 8. Its highest remaining power with a non-zero coefficient is 2, hence its degree is 2. The original x⁵ term cannot determine the degree after its coefficient becomes zero.

Related tags

PolynomialParameter-SubstitutionDegreeLeading-TermDegree Of A PolynomialIntroduction To PolynomialsMathematicsClass 9 Mcq

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