Write the degree of the polynomial for each of the following.

i. 5 + 3x⁴

ii. 7

iii. ax⁷ + bx⁹ (a, b are constants)

i. The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.
Here,

3x⁴ + 0.x³ + 0.x² + 0.x + 5

Therefore, the degree of this polynomial is 4

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

Here,

7x⁰.

Therefore, the degree of this polynomial is 0

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

Here,

b.x⁹ + 0.x⁸ + a.x⁷ + 0.x⁶ + 0.x⁵ + 0.x⁴ + 0.x³ + 0.x² + 0.x¹ + 1

Therefore, the degree of this polynomial is 9.