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What are Zeros of a Polynomial? Video Lecture - Class 9
FAQs on What are Zeros of a Polynomial? Video Lecture - Class 9
| 1. What are zeros of a polynomial? |  |
Ans. Zeros of a polynomial are the values of the variable that make the polynomial equal to zero. In other words, if we substitute these values in the polynomial, the polynomial will evaluate to zero.
| 2. How can we find the zeros of a polynomial? | |
Ans. To find the zeros of a polynomial, we can use different methods like factorization, synthetic division, or by using the quadratic formula. These methods help us in finding the values of the variable for which the polynomial becomes zero.
| 3. Can a polynomial have more than one zero? | |
Ans. Yes, a polynomial can have more than one zero. The number of zeros of a polynomial is equal to its degree. However, some zeros may be repeated, which means they occur more than once.
| 4. What is the significance of zeros of a polynomial? | |
Ans. Zeros of a polynomial play a significant role in graphing the polynomial function. They represent the x-intercepts or the points where the graph of the polynomial intersects the x-axis. Zeros also help us in solving equations and understanding the behavior of the polynomial.
| 5. Are zeros of a polynomial always real numbers? | |
Ans. No, the zeros of a polynomial can be real or complex numbers. A polynomial can have real zeros, complex zeros, or a combination of both. The Fundamental Theorem of Algebra states that a polynomial of degree n will have exactly n complex zeros, counting multiplicity.
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