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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-02-PLY-01
Polynomials: Definitions & Types — Assignment
Chapter: Polynomials
Topic: Understanding Polynomials: Definitions and Types
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.
A polynomial allows $x$ raised to:
  • A.negative powers
  • B.non-negative integer powers
  • C.fractional powers
  • D.any
2.
The degree of $3x^2+2x+1$ is:
  • A.$1$
  • B.$2$
  • C.$3$
  • D.$0$
3.
A degree-$1$ polynomial is:
  • A.constant
  • B.linear
  • C.quadratic
  • D.cubic
4.
The degree of a non-zero constant polynomial is:
  • A.$0$
  • B.$1$
  • C.undefined
  • D.$-1$
5.
$x^2+\dfrac1x$ is:
  • A.a polynomial
  • B.not a polynomial
  • C.a monomial
  • D.linear
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the degree of $4x^3-2x+7$.
7.
Classify $2x+3$ by degree.
8.
Is $\sqrt{x}+1$ a polynomial?
9.
State the coefficient of $x$ in $5x^2-3x+2$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
State the degree and number of terms of $7x^4-3x^2+x$.
11.
Classify $x^3+1$ by degree.
12.
Find the constant term of $2x^2-5x+9$.
13.
Is $3$ a polynomial? State its degree.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
For $p(x)=2x^3-3x^2+x-5$, find $p(0),\ p(1)$ and $p(-1)$.
15.
Write a polynomial of degree $3$ with $4$ terms and state its leading coefficient.

Answer Key

Section A — Multiple Choice Questions
  1. (B) non-negative integer powers
  2. (B) $2$
  3. (B) linear
  4. (A) $0$
  5. (B) not a polynomial
Section B — Short Answer (2 marks)
  1. $3$.
  2. Linear.
  3. No.
  4. $-3$.
Section C — Short Answer (3 marks)
  1. Degree $4$; $3$ terms.
  2. Cubic.
  3. $9$.
  4. Yes; degree $0$.
Section D — Long Answer (5 marks)
  1. $-5,\ -5,\ -11$.
  2. e.g. $2x^3+x^2-4x+7$; leading coefficient $2$.
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