Classify this polynomlal by Its,degree and number of terms: x^2+6 Linear polynomial Quadratic binomial Quadratic trinomial Cubic binomial

To classify the polynomial $x^{2}+6$, we need to consider its degree and the number of terms.<br /><br />Step 1: Determine the degree of the polynomial.<br />The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the highest power of $x$ is 2. Therefore, the degree of the polynomial is 2.<br /><br />Step 2: Determine the number of terms in the polynomial.<br />A term in a polynomial is a part that is separated by a plus or minus sign. In this case, there are two terms: $x^{2}$ and 6.<br /><br />Step 3: Classify the polynomial based on its degree and number of terms.<br />Since the degree of the polynomial is 2 and it has two terms, it is classified as a quadratic binomial.<br /><br />Therefore, the correct answer is:<br />Quadratic binomial