Question

For the polynomial 11x4 8x2 x which represents how much patrick won from michael, find the degree of each term. then find the degree of the polynomial. please use the palette below to input your answer.

Answer 1

The polynomial 11x⁴ + 8x² + x has terms with degrees 4, 2, and 1 respectively, and the highest degree of 4 which is the degree of the polynomial.

Step-by-step explanation:

The polynomial given is 11x⁴ + 8x² + x. To find the degree of each term, we look at the exponents of the variable x in each term. The first term, 11x⁴, has an exponent of 4, so its degree is 4. The second term, 8x², has an exponent of 2, so its degree is 2. The third term, x, is the same as x¹, which has an exponent of 1, making its degree 1. To find the degree of the polynomial, we determine the highest degree of any term in the polynomial, which in this case is 4. Therefore, the degree of the polynomial is 4.