Subtract the second polynomial from the first.

i.

ii. 2ab² + 3a²b – 4ab; 3ab – 8ab² +2a²b

Use the given letters to write the answer.

i. There are ‘a’ trees in the village Lat. If the number of trees increases every year by ‘b’, then how many trees will there be after ‘x’ years?

ii. For the parade there are y students in each row and x such row is formed. Then, how many students are there for the parade in all?

iii. The tens and units place of a two-digit number is m and n respectively. Write the polynomial which represents the two-digit number.

Add the given polynomials.

i. x³ – 2x² – 9; 5x³ + 2x +9

ii.

iii. 2y² + 5; 3y +9; 3y² – 4y – 3

Multiply the given polynomials.

i. 2x; x² – 2x

ii. x⁵ – 1; x³ + 2x³ + 2

iii. 2y + 1; y² – 2y³ + 3y

Divide first polynomial by second polynomial and write the answer in the form ‘Dividend = Divisor × Quotient + Remainder’.

i. x³ – 64; x – 4

ii. 5x⁵ + 4x⁴ – 3x³ + 2x² + 2; x² – x