Question

Match the following polynomials with corresponding value of maximum number of zeroes.

• A. 6
• B. 99
• C. 100
• D. 16

Answer 1

The maximum number of zeroes a polynomial can have is equal to the degree of the polynomial.

The degree of the polynomial $x^6+4x^3+5$ is 6. Thus, it can have a maximum of 6 zeroes.

The degree of the polynomial $x^{16}+24x^3$ is 16 and hence, it can have a maximum of 16 zeroes.

The degree of the polynomial $x^{99}+1$ is 99. Thus, it can have a maximum of 99 zeroes.

The degree of the polynomial $x^{100}-1$ is 100. Hence, it can have a maximum of 100 zeroes.