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Video: Introduction to Polynomials (Detailed) Video Lecture - Class 10
FAQs on Video: Introduction to Polynomials (Detailed) Video Lecture - Class 10
| 1. What is a polynomial? |  |
Ans. A polynomial is an algebraic expression consisting of variables, coefficients, and exponents. It is a combination of terms, each consisting of a variable raised to a non-negative integer power, multiplied by a coefficient.
| 2. What are the different types of polynomials? | |
Ans. Polynomials can be classified into different types based on the number of terms they have. Some common types of polynomials include monomials (one term), binomials (two terms), trinomials (three terms), and multinomials (more than three terms).
| 3. How do you add or subtract polynomials? | |
Ans. To add or subtract polynomials, you need to combine like terms. Like terms are terms that have the same variable raised to the same power. Simply add or subtract the coefficients of the like terms while keeping the variables and exponents unchanged.
| 4. How do you multiply polynomials? | |
Ans. To multiply polynomials, you can use the distributive property or the FOIL method. The distributive property involves multiplying each term in one polynomial by each term in the other polynomial and then combining like terms. The FOIL method is specifically used for multiplying binomials and stands for First, Outer, Inner, Last.
| 5. What is the degree of a polynomial? | |
Ans. The degree of a polynomial is the highest power of the variable in the polynomial. It is determined by looking at the exponents of the variables in each term and selecting the highest exponent. The degree of a constant term is 0, and the degree of the zero polynomial is undefined.
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