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)

(9) 0

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) (9) 0

Philoid · Accepted Answer

(1) The degree of a polynomial is the highest degree of its individual terms with non-zero coefficients.

This algebraic expression has two powers 3 and 1.

So the highest power is 3 and hence the degree of the polynomial is 3.

(2) The degree of a polynomial is the highest degree of its individual terms with non-zero coefficients.

This algebraic expression has two powers 2, 1 and 0.

So the highest power is 2 and hence the degree of the polynomial is 2.

(3) The degree of a polynomial is the highest degree of its individual terms with non-zero coefficients.

This algebraic expression has two powers 4, 1 and 0.

So the highest power is 4 and hence the degree of the polynomial is 4.

(4) The degree of a polynomial is the highest degree of its individual terms with non-zero coefficients.

This algebraic expression has two powers 1.

So the highest power is 1 and hence the degree of the polynomial is 1.

(5) The degree of a polynomial is the highest degree of its individual terms with non-zero coefficients.

This algebraic expression has two powers 0.

So the highest power is 0 and hence the degree of the polynomial is 0.

(6) The degree of a polynomial is the highest degree of its individual terms with non-zero coefficients.

This algebraic expression has two powers 5, 3, 2, and 0.

So the highest power is 5 and hence the degree of the polynomial is 5.

(7) The degree of a polynomial is the highest degree of its individual terms with non-zero coefficients.

This algebraic expression has two powers 5 and 0.

So the highest power is 5 and hence the degree of the polynomial is 5.

(8) The degree of a polynomial is the highest degree of its individual terms with non-zero coefficients.

This algebraic expression has two powers 4 and 1.

So the highest power is 4 and hence the degree of the polynomial is 4.

(9) The degree of the zero polynomial is left to be undefined.

Hence its degree cannot be defined.