ALLEN Coaching
ApplyRegister for ALLEN Scholarship Test & get up to 90% Scholarship
Polynomials exist as algebraic expressions which combine variables with constants using the addition and subtraction operations and multiplication and non-negative integer exponent operations. It educates us about how to identify polynomials and their degrees while differentiating between polynomial terms, together with their coefficients and classifications (monomial, binomial and trinomial).
Students can use the NCERT Solutions for Exercise 2.1 Class 9 Maths chapter 2 polynomials. The composition of the word "Polynomial" combines "Poly" for its multiple meanings with "nominal" as a term in this context to produce "many terms", as we learned in earlier sessions. The Exercise 2.1 Class 9 Maths chapter presents multiple problems at the start of the book. This section addresses the topic of polynomials through the NCERT Books.
Q1 (i) Is the following expression polynomial in one variable? State reasons for your answer.
Answer:
Yes, given the polynomial
Q1 (ii) Is the following expression polynomial in one variable? State reasons for your answer.
Answer:
Yes, the given polynomial has only one variable, which is y, that is why it is a polynomial in one variable.
Q1 (iii) Is the following expression polynomial in one variable? State reasons for your answer.
Answer:
No, because we can observe that the exponent of variable t in the term
Therefore, the expression given is not a polynomial.
Q1 (iv) Is the following expression polynomial in one variable? State reasons for your answer.
Answer:
No, because we can observe that the exponent of variable y in the term
Q1 (v) Is the following expression polynomial in one variable? State reasons for your answer.
Answer:
No, because in the given polynomial
Q3 Give one example each of a binomial of degree 35, and of a monomial of degree 100.
Answer:
The degree of a polynomial is the highest power of its variable.
In binomial, there are two terms: Therefore, a binomial of degree 35 is Eg:
In a monomial, there is only one term. Therefore, a monomial of degree 100 can be written as
Q4 (i) Write the degree the following polynomial:
Answer:
The degree of a polynomial is the highest power of its variable. Therefore, the degree of the polynomial
Q4 (ii) Write the degree the following polynomial:
Answer:
The degree of a polynomial is the highest power of its variable. Therefore, the degree of the polynomial
Q4 (iii) Write the degree the following polynomial:
Answer:
The degree of a polynomial is the highest power of its variable. Therefore, the degree of the polynomial
Q4 (iv) Write the degree the following polynomial: 3
Answer:
The degree of a polynomial is the highest power of its variable. In this case, only a constant value 3 is there, and the degree of a constant polynomial is always 0.
Q5 (i) Classify the following as linear, quadratic and cubic polynomial:
Answer:
Linear, quadratic, and cubic polynomials have degrees of 1, 2, and 3, respectively. The given polynomial is
Q5 (ii) Classify the following as linear, quadratic and cubic polynomial:
Answer:
Linear, quadratic, and cubic polynomials have degrees of 1, 2, and 3, respectively. The given polynomial is
Q5 (iii) Classify the following as linear, quadratic and cubic polynomial:
Answer:
Linear, quadratic, and cubic polynomials have degrees of 1, 2, and 3, respectively. The given polynomial is
Q5 (iv) Classify the following as linear, quadratic and cubic polynomial:
Answer:
Linear, quadratic, and cubic polynomials have degrees of 1, 2, and 3, respectively. Given polynomial is
Q5 (v) Classify the following as linear, quadratic and cubic polynomial:
Answer:
Linear, quadratic, and cubic polynomials have degrees of 1, 2, and 3, respectively. The given polynomial is
Q5 (vi) Classify the following as linear, quadratic and cubic polynomial:
Answer:
Linear, quadratic, and cubic polynomials have degrees of 1, 2, and 3, respectively. The given polynomial is
Q5 (vii) Classify the following as linear, quadratic and cubic polynomial:
Answer:
Linear, quadratic, and cubic polynomials have degrees of 1, 2, and 3, respectively. The given polynomial is
Also Read-
Check Out-
Students must check the NCERT solutions for class 9 of the Mathematics and Science Subjects.
Students must check the NCERT Exemplar solutions for class 9 of the Mathematics and Science Subjects.
No, we can't say the given term a Polynomial, because it does not follow the fundamental definition of Polynomial
There are a total of 5 exercises in chapter 2 i.e. Ex 2.1, 2.2, 2.3, 2.4, 2.5, hence knowledge of preceding exercise make it more effective for students to understand more.
Well there are many more topics like a polynomial in one variable, remainder theorem, factorization, and algebraic identities
Monomial is a type of polynomial that contains only one term example = ax²
Binomial is a type of polynomial that contains only 2 terms example = ax² + b
The highest power of x² +x is 2
Therefore degree = 2 hence it is a quadratic polynomial
A polynomial with degree = 4 is called bi quadratic polynomial, which is not in the course of chapter 2 Class 9
Register for ALLEN Scholarship Test & get up to 90% Scholarship
Get up to 90% Scholarship on Offline NEET/JEE coaching from top Institutes
This ebook serves as a valuable study guide for NEET 2025 exam.
This e-book offers NEET PYQ and serves as an indispensable NEET study material.
As per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters
As per latest 2024 syllabus. Chemistry formulas, equations, & laws of class 11 & 12th chapters