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

i. 2x^{5} – x^{3} + x – 6

ii. 3x^{2} – 2x + 1

iii. y^{3} + 2√3

iv.

v.

vi. x^{3} + y^{3} + z^{6}

Write the coefficient of x^{2} and x in each of the following

i. 2 + 3x – 4x^{2} + x^{3}

ii. √3 x + 1

iii. x^{3} + √2 x^{2} + 4x – 1

Write the degree of each of the following polynomials.

i. 4 – 3x^{2}

ii. 5y + √2

iii. 12 – x + 4x^{3}

iv. 5

Classify the following polynomials based on their degree.

i. 3x^{2} + 2x + 1

ii. 4x^{3} – 1

iii. y + 3

iv. y^{2} – 4

v. 4x^{3}

vi. 2x

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