Polynomials Video Lecture | CSIR NET Crash Course for Mathematics - CSIR NET Mathematics

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FAQs on Polynomials Video Lecture - CSIR NET Crash Course for Mathematics - CSIR NET Mathematics

1. What is a polynomial in mathematics?
Ans. A polynomial in mathematics is an expression consisting of variables and coefficients that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
2. How do you determine the degree of a polynomial?
Ans. The degree of a polynomial is determined by the highest power of the variable present in the polynomial. For example, in the polynomial 3x^2 + 5x - 1, the degree is 2 because the highest power of x is 2.
3. Can a polynomial have negative exponents?
Ans. No, a polynomial cannot have negative exponents. Negative exponents would make the expression a rational function rather than a polynomial.
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. For example, in the polynomial 4x^3 + 2x^2 - x + 7, the leading coefficient is 4.
5. How do you add or subtract polynomials?
Ans. To add or subtract polynomials, simply combine like terms by adding or subtracting the coefficients of the same variables raised to the same powers. Make sure to keep the terms in the same order to avoid errors.
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