Which of the following is a quadratic polynomial in x?

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Multiple Choice

Which of the following is a quadratic polynomial in x?

Explanation:
A quadratic polynomial in x is one where the highest power of x is 2, so it has a term with x^2 and a ≠ 0 coefficient. Among the options, the expression that includes a nonzero x^2 term fits this: 2x^2 + 3x + 5. Its highest power of x is x^2, so its degree is 2, which makes it quadratic. The other expressions have either no x^2 term (they’re linear), or have a higher power (x^3), or involve a radical (sqrt(x)), which is not a polynomial.

A quadratic polynomial in x is one where the highest power of x is 2, so it has a term with x^2 and a ≠ 0 coefficient. Among the options, the expression that includes a nonzero x^2 term fits this: 2x^2 + 3x + 5. Its highest power of x is x^2, so its degree is 2, which makes it quadratic. The other expressions have either no x^2 term (they’re linear), or have a higher power (x^3), or involve a radical (sqrt(x)), which is not a polynomial.

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