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Is (3x^2+2x+1) a polynomial?

Answer and explanation

Correct answer: Yes, because the powers of x are 2, 1, and 0, which are non-negative integers

In a polynomial, every exponent of the variable must be a non-negative integer. In 3x^2, 2x, and 1, the powers of x are 2, 1, and 0 respectively; therefore, (3x^2+2x+1) is a polynomial. Having a constant term or three terms does not make an expression non-polynomial. Exam tip: if a variable has a negative or fractional exponent, the expression is not a polynomial.

Related tags

PolynomialsDefinition Of PolynomialNon-Negative ExponentsClass 9 MathematicsAlgebra BasicsDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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