Find the number of terms and the degree of this polynomial. -1+9g-2g^2 Number of terms: square Degree: square

To find the number of terms and the degree of the polynomial $-1+9g-2g^{2}$, we need to identify the individual terms and their degrees.<br /><br />Step 1: Identify the terms in the polynomial.<br />The polynomial $-1+9g-2g^{2}$ has three terms: $-1$, $9g$, and $-2g^{2}$.<br /><br />Step 2: Determine the degree of each term.<br />The degree of a term is the highest power of the variable in that term. <br />- The term $-1$ has no variable, so its degree is 0.<br />- The term $9g$ has a variable $g$ raised to the power of 1, so its degree is 1.<br />- The term $-2g^{2}$ has a variable $g$ raised to the power of 2, so its degree is 2.<br /><br />Step 3: Find the highest degree among all the terms.<br />The highest degree among the terms $-1$, $9g$, and $-2g^{2}$ is 2.<br /><br />Therefore, the number of terms in the polynomial $-1+9g-2g^{2}$ is 3, and the degree of the polynomial is 2.<br /><br />Number of terms: 3<br />Degree: 2