{"id":240900,"date":"2025-07-03T13:18:13","date_gmt":"2025-07-03T13:18:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=240900"},"modified":"2025-07-03T13:18:15","modified_gmt":"2025-07-03T13:18:15","slug":"which-algebraic-expression-is-a-polynomial-with-a-degree-of-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/03\/which-algebraic-expression-is-a-polynomial-with-a-degree-of-2\/","title":{"rendered":"Which algebraic expression is a polynomial with a degree of 2"},"content":{"rendered":"\n

Which algebraic expression is a polynomial with a degree of 2? 4x\u00b3 – 2x 10x\u00b2 – ?x 8x\u00b3 + \\frac{5}{x} + 3 6x\u00b2 – 6x + 5<\/p>\n\n\n\n

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The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The correct answer is 6x\u00b2 \u2013 6x + 5<\/strong>.<\/p>\n\n\n\n

To determine the correct answer, we must first understand the two conditions given in the question. The algebraic expression must be a polynomial, and it must have a degree of 2.<\/p>\n\n\n\n

First, let’s define what makes an expression a polynomial. A polynomial is an algebraic expression that consists of variables, coefficients, and constants, using only addition, subtraction, and multiplication. A key rule for polynomials is that the exponents of the variables must be non-negative integers (0, 1, 2, 3, and so on). This means that expressions with variables in the denominator (which corresponds to a negative exponent) or variables under a radical sign (which corresponds to a fractional exponent) are not polynomials.<\/p>\n\n\n\n

Second, the degree of a polynomial is the value of the highest exponent of the variable in the expression.<\/p>\n\n\n\n

Now let’s analyze each option:<\/p>\n\n\n\n