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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-02-OPS-01
Operations on Polynomials — Assignment
Chapter: Polynomials
Topic: Operations on Polynomials
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
$(x+2)+(x+3)=$
  • A.$2x+5$
  • B.$x+5$
  • C.$2x+6$
  • D.$x^2+5$
2.
$(2x^2)(3x)=$
  • A.$5x^3$
  • B.$6x^3$
  • C.$6x^2$
  • D.$5x^2$
3.
$(x+1)(x-1)=$
  • A.$x^2-1$
  • B.$x^2+1$
  • C.$x^2-2x+1$
  • D.$x^2+2x-1$
4.
The product of degree-$m$ and degree-$n$ polynomials has degree:
  • A.$m+n$
  • B.$mn$
  • C.$\max(m,n)$
  • D.$m-n$
5.
$(x+1)(x+2)=$
  • A.$x^2+3x+2$
  • B.$x^2+2$
  • C.$x^2+3x$
  • D.$2x+3$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Add $(x^2+2x)$ and $(3x^2-x)$.
7.
Multiply $(2x)(x+3)$.
8.
Subtract $(x^2+1)$ from $(2x^2+3)$.
9.
Multiply $(x+1)(x-1)$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Multiply $(x+2)(x^2-2x+4)$.
11.
Expand $(2x+3)^2$.
12.
Multiply $(x-3)(x+5)$.
13.
Add $(3x^2-2x+1)+(x^2+4x-5)$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
If $p(x)=x^2+2x+1$ and $q(x)=x-1$, find $p(x)\cdot q(x)$.
15.
Simplify $(a+b)^2-(a-b)^2$.

Answer Key

Section A — Multiple Choice Questions
  1. (A) $2x+5$
  2. (B) $6x^3$
  3. (A) $x^2-1$
  4. (A) $m+n$
  5. (A) $x^2+3x+2$
Section B — Short Answer (2 marks)
  1. $4x^2+x$.
  2. $2x^2+6x$.
  3. $x^2+2$.
  4. $x^2-1$.
Section C — Short Answer (3 marks)
  1. $x^3+8$.
  2. $4x^2+12x+9$.
  3. $x^2+2x-15$.
  4. $4x^2+2x-4$.
Section D — Long Answer (5 marks)
  1. $x^3+x^2-x-1$.
  2. $4ab$.
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