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Which statement is correct about \(3y^2+\sqrt{5}y-8\)?

Answer and explanation

Correct answer: It is a polynomial in \(y\)

In \(3y^2+\sqrt{5}y-8\), the powers of \(y\) are \(2\), \(1\), and \(0\), all of which are non-negative integers. \(\sqrt{5}\) is a real number, so it is a valid coefficient. A negative constant term, \(-8\), also does not prevent an expression from being a polynomial. A zero polynomial has every coefficient equal to zero, which is not true here. Exam tip: to identify a polynomial, check the exponents of the variable; coefficients may be irrational or negative.

Related tags

Polynomial DefinitionReal CoefficientsDegree Of PolynomialAlgebraClass 9 MathematicsDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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