Class 10 Exam > Class 10 Notes > EXERCISE 1 - Polynomials, Class 10, Maths
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Polynomials
EXERCISE 1
Question: 1. The graphs of y = p(x) are given below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
(i)
Answer:- Number of zeroes = 0, since the line is not intersecting the x-axis
(ii)
Answer:- Number of zeroes = 1, since the line intersects the x axis once.
(iii)
Answer:- Number of zeroes = 2, since the line intersects the x axis twice.
(iv)
Answer:- Number of zeroes = 2
(v)
Answer: Number of zeroes = 4
(vi)
Answer: Number of zeroes = 2
FAQs on EXERCISE 1 - Polynomials, Class 10, Maths
| 1. What is a polynomial? |  |
Ans. A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations. It can have one or more terms, and the exponents of the variables should be non-negative integers.
| 2. How do you classify polynomials based on the number of terms they have? | |
Ans. Polynomials can be classified based on the number of terms they have:
- A polynomial with one term is called a monomial.
- A polynomial with two terms is called a binomial.
- A polynomial with three terms is called a trinomial.
- A polynomial with more than three terms is called a polynomial of higher degree.
| 3. How can we find the degree of a polynomial? | |
Ans. The degree of a polynomial is the highest power of the variable in the polynomial. To find the degree, we look at the exponents of the variables in each term and select the highest exponent.
| 4. What is the leading coefficient of a polynomial? | |
Ans. The leading coefficient of a polynomial is the coefficient of the term with the highest power of the variable. It is usually written as the coefficient of the term with the highest degree.
| 5. How can we add or subtract polynomials? | |
Ans. To add or subtract polynomials, we combine the like terms. Like terms are those with the same variables and corresponding exponents. We simply add or subtract the coefficients of these like terms while keeping the variables and exponents unchanged.
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Sep 26, 2025
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