Write the degree of each of the following polynomials.

i. 4 – 3x²

ii. 5y + √2

iii. 12 – x + 4x³

iv. 5

State whether the following expressions are polynomials in one variable or not. Give reasons for your answer.

i. 2x⁵ – x³ + x – 6

ii. 3x² – 2x + 1

iii. y³ + 2√3

iv.

v.

vi. x³ + y³ + z⁶

Write the coefficient of x² and x in each of the following

i. 2 + 3x – 4x² + x³

ii. √3 x + 1

iii. x³ + √2 x² + 4x – 1

iv.

Classify the following polynomials based on their degree.

i. 3x² + 2x + 1

ii. 4x³ – 1

iii. y + 3

iv. y² – 4

v. 4x³

vi. 2x

Give one example of a binomial of degree 27 and monomial of degree 49 and trinomial of degree 36.