Polynomials | Class 9 | Practice Set 3.2
Polynomials | Class 9 | Practice Set 3.2, examples based on addition, subtraction, multiplication and division are solved in this post.
Praying-Set-3.2The embedded pdf file contains the solutions of all the examples based on following topics –
(1) Writing the polynomial from word form to letter form.
(2) Addition of the polynomials.
Also read : Sets | Class 9 | Practice Set 1.1
(3) Subtraction of the polynomials.
(4) Multiplication of the polynomials.
(5) Division of the polynomials.
(6) Word problems based on the above mentioned topics.
The examples given in this practice set are given below –
Class 9 | Practice Set 3.2
(1) 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 are 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 ?
Also read : Sets | Class 9 | Practice Set 1.2
(2) Add the given polynomials.
(i) x3+9 ; 5×3 + 2x + 9
(ii) – 7m4 + 5m3 + 2 ; 5m4
(iii) 2y2 + 7y + 5 ; 3y + 9 ; 3y2
(3) Subtract the second polynomial from the first.
(i) x2 + 9x + 3 ; – 19x + 3 + 7×2
(ii) 2ab2 + 3a2b – 4ab ; 3ab – 8ab2 + 2a2b
(4) Multiply the given polynomials.
(i) 2x ; x-1 (ii) x5
-1 ; x3+ 2×2 +2 (iii) 2y +1; y2+ 3y
(5) Divide first polynomial by second polynomial and write the answer in the form
‘Dividend = Divisor ´ Quotient + Remainder’.
(i) x3 + 64; x – 4 (ii) 5×5 + 4×4 + 2×2 + 2; x2 – x
(6) Write down the information in the form of algebraic expression and simplify. There is a rectangular farm with length (2a2 + 3b2) metre and breadth (a2 + b2) metre. The farmer used a square shaped plot of the farm to build a house. The side of the plot was (a2 -b2) metre. What is the area of the remaining part of the farm ?
