Write whether the following statements are True or False. Justify your answer.

The degree of the sum of two polynomials each of degree 5 is always 5

Write whether the following statements are True or False. Justify your answer.

Zero of a polynomial is always 0.

Write whether the following statements are True or False. Justify your answer.

A polynomial cannot have more than one zero

Classify the following polynomials as polynomials in one variable, two variables etc.

(i) x² + x + 1

(ii) y³ – 5y

(iii) xy + yz + zx

(iv) x² – 2xy + y² + 1

Determine the degree of each of the following polynomials:

(i) 2x – 1

(ii) –10

(iii) x³ – 9x + 3x⁵

(iv) y³ (1 – y⁴)