Find the maximum number of zeroes and degree of the polynomial P(x) = 11x6 + x5 + 3x4 + x3 + x2 + x +1.
6 and 6 respectively
The degree of the polynomial is the highest power on any term in the polynomial, and the maximum number of zeroes a polynomial can have is equal to the degree of the polynomial.
In the given polynomial P(x) = 11x6 + x5 + 3x4 + x3 + x2 + x +1.
The degree of the polynomial is 6 and the maximum number of zeroes is 6.