# Worksheet on Addition of Polynomials

Practice the questions given in the worksheet on addition of polynomials. The questions are based on arranging the expressions to find the sum of monomials, binomials, trinomials and polynomials.

1. Arrange and add the monomials:

(i) –8abc and 10abc

(ii) 5x2yz2 and 9x2yz2

(iii) -6z7, and 5z7

2. Arrange and add the binomials:

(i) 2p + 3q and 7p + 8q

(ii) 14x -3y and -5x + 11y

(iii) 2x2y and -8x2y

3. Arrange and add the trinomials:

(i) 4x + 5y – 3z and 9x – 6y + 4z

(ii)3x2 + 4xy + 5y2 and 9y2 – 10x2 – 6xy

(iii) 14xy + 17yz + 13xz and 8xy – 15yz + 12xz

Now we will proceed from basic to intricate problems on arranging and adding polynomials provided in the worksheet on addition of polynomials.

4. Find the sum of:

(i) 3x2 – 2xy + 4y2 and – x2 + 4xy – 2y2

(ii) 3p + 4q + 7r, -5p + 3q – 6r and 4p – 2q – 4r

(iii) 2a2 + ab - b2, -a2 + 2ab + 3b2 and 3a2 – 10ab + 4b2

(iv) k2 – k + 1, -5k2 + 2k – 2 and 3k2 – 3k + 1

(v) x2 – xy + yz, 2xy + yz – 2x2 and -3yz + 3x2 + xy

(vi) 4u2 + 7 – 3u, 4u – u2 + 8 and -10 + 5u – 2u2

(i) 3xyz + 4yz + 5zx, 7xz – 6yz + 4xyz and -9xyz – 11zy + 9xz

(ii) x3 – 2y3 + x, y3 – 2x3 + y and -2y + 2y3 – 5x + 4x3

(iii) 7p2 – 4p2q + 8q2, 5q2 – 2p2 + 6p2q and 3p2q + 10p2

(iv) 9x2 – 7x + 5, -14x2 – 6 + 15x and 20x2 + 40x - 17

(v) –m2 – 3mn + 3n2 + 8, 3m2 – 5n2 – 3 + 4mn and -6mn + 2m2 – 2 + n2

6. If P = a2 – 2bc + b2, Q = -b2 + bc – c2 and R = c2 + cb + a2 then, find the value of P + Q + R.

1. (i) 2abc

(ii) 14x2yz2

(iii) -z7

2. (i) 9p + 11q

(ii) 9x + 8y

(iii) -6x2y

3. (i) 13x - y +z

(ii) -7x2 - 2xy + 14y2

(iii) 22xy + 2yz + 25xz

4. (i) 2x2 + 2xy + 2y2

(ii) 2p + 5q – 3r

(iii) 4a2 – 7ab + 6b2

(iv) –k2 – 2k

(v) 2x2 + 2xy - yz

(vi) u2 + 6u + 5

5. (i) -2xyz – 13yz + 21xz

(ii) 3x3 + y3 – 4x – y

(iii) 15p2 + 5p2q + 13q2

(iv) 15x2 – 32x – 18

(v) 4m2 – 5mn – n2

6. 0

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