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Zeroes and Coefficients of Polynomials Video Lecture - Class 10
FAQs on Zeroes and Coefficients of Polynomials Video Lecture - Class 10
| 1. What are zeroes of a polynomial? |  |
Ans. Zeroes of a polynomial are the values of the variable for which the polynomial becomes zero. In other words, they are the solutions to the equation formed by setting the polynomial equal to zero.
| 2. How can we find the zeroes of a polynomial? | |
Ans. To find the zeroes of a polynomial, we can use various methods such as factorizing the polynomial, using the remainder theorem and factor theorem, or solving the polynomial equation using synthetic division or long division method.
| 3. What are coefficients of a polynomial? | |
Ans. Coefficients of a polynomial are the numerical constants multiplied with each term of the polynomial. They represent the weights or magnitudes of the respective terms in the polynomial expression.
| 4. How can we determine the number of zeroes of a polynomial? | |
Ans. The number of zeroes of a polynomial is equal to its degree. The degree of a polynomial is the highest power of the variable in the polynomial expression. For example, a polynomial of degree 3 will have three zeroes.
| 5. Can a polynomial have the same zero multiple times? | |
Ans. Yes, a polynomial can have the same zero multiple times. These repeated zeroes are called multiple zeroes or roots of multiplicity greater than one. The multiplicity of a zero indicates the number of times it appears as a root of the polynomial.
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