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Polynomials Class 10 PPT

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FAQs on Polynomials Class 10 PPT

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 each term can have a different degree.
2. How do you classify polynomials based on their degrees?
Ans. Polynomials can be classified into different types based on their degrees. A polynomial with one term is called a monomial and has a degree equal to the exponent of the variable. A polynomial with two terms is called a binomial, and a polynomial with three terms is called a trinomial. Any polynomial with more than three terms is called a polynomial of a higher degree.
3. What is the degree of a polynomial?
Ans. The degree of a polynomial is the highest exponent of the variable in any of its terms. It determines the overall behavior of the polynomial, such as whether it is increasing or decreasing, and helps in understanding its properties and characteristics.
4. How do you add or subtract polynomials?
Ans. To add or subtract polynomials, we combine like terms. Like terms are those that have the same variables and the same exponents. We add or subtract the coefficients of these like terms while keeping the variables and exponents unchanged. Once we have combined all the like terms, we simplify the expression if possible.
5. What are the different methods to factorize polynomials?
Ans. There are several methods to factorize polynomials, including: - Factoring out the greatest common factor (GCF) - Using the difference of squares formula - Applying the quadratic formula for quadratic polynomials - Using the method of grouping for polynomials with four or more terms - Factoring by trial and error or by using factorization patterns for specific types of polynomials, such as perfect square trinomials or difference of cubes.
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