Which of the following is a polynomial?

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Prepare for your Leaving Certificate Mathematics exam with a comprehensive practice test featuring key definitions. Use flashcards, multiple choice questions, and detailed explanations to ensure success and mastery of fundamental math concepts.

Multiple Choice

Which of the following is a polynomial?

Explanation:
Polynomials are expressions formed by summing terms a_n x^n where n is a nonnegative integer and a_n are constants. The expression 3x^2 + 4x + 5 fits this pattern, with terms x^2, x, and x^0 (the constant 1), using exponents 2, 1, and 0, and coefficients 3, 4, and 5. The other expressions have either fractional exponents (x^(1/2), x^(3/2)) or a negative exponent (2/x), which are not allowed in polynomials. Therefore, the expression 3x^2 + 4x + 5 is the polynomial.

Polynomials are expressions formed by summing terms a_n x^n where n is a nonnegative integer and a_n are constants. The expression 3x^2 + 4x + 5 fits this pattern, with terms x^2, x, and x^0 (the constant 1), using exponents 2, 1, and 0, and coefficients 3, 4, and 5. The other expressions have either fractional exponents (x^(1/2), x^(3/2)) or a negative exponent (2/x), which are not allowed in polynomials. Therefore, the expression 3x^2 + 4x + 5 is the polynomial.

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