Write the degree of each polynomial of the following polynomials:

i. 12 – 3x + 2x³

ii. 5y - √2

iii. 9

iv. 3 + 4t²

The degree is the highest power of the variable in a polynomial

i. 12 – 3x + 2x³

the variable here is x

the highest power of x in 12 – 3x + 2x³ is 3 hence 3 is the degree of polynomial 12 – 3x + 2x³

ii. 5y - √2

the variable here is y

the highest power of y in 5y - √2 is 1 (y = y¹) hence 1 is the degree of polynomial 5y - √2

iii. 9

it is constant polynomial and for a constant polynomial the degree is 0 because 9 can be written as 9x⁰, 0 is the highest power of x in 9x⁰

iv. 3 + 4t²

the variable here is t

the highest power of t in 3 + 4t² is 2 hence 2 is the degree of polynomial 3 + 4t²