Question

Write the degree of the following polynomials.

(1) 64p³ − 10p
(2) 8n² − 25n + 9
(3) x − 11 + 3x⁴
(4) 39m
(5) 81
(6) 2n⁵ − n³ + 6 − 7n²
(7) 9a⁵ − 61
(8) $\frac{5}{11}x-x^4$
(9) 0

Answer 1

(1) The highest index of the variable (i.e. p) is 3.
Hence, the degree of the polynomial is 3.

(2) The highest index of the variable (i.e. n) is 2.
Hence, the degree of the polynomial is 2.

(3) The highest index of the variable (i.e. x) is 4.
Hence, the degree of the polynomial is 4.

(4) The index of the variable (i.e. m) is 1.
Hence, the degree of the polynomial is 1.

(5) The index of the variable is 0.
Hence, the degree of the polynomial is 0
This type of polynomial is also called constant polynomial.

(6) The highest index of the variable (i.e. n) is 5.
Hence, the degree of the polynomial is 5.

(7) The highest index of the variable (i.e. a) is 5.
Hence, the degree of the polynomial is 5.

(8) The highest index of the variable (i.e. x) is 4.
Hence, the degree of the polynomial is 4.

(9) The degree of the monomial 0 cannot be determined.