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02- How to Find Zeros of a Polynomial - Class 10 - Maths Video Lecture

FAQs on 02- How to Find Zeros of a Polynomial - Class 10 - Maths Video Lecture

1. What is a zero of a polynomial?

Ans. A zero of a polynomial, also known as a root or solution, is a value of the variable that makes the polynomial equal to zero. In other words, if 'a' is a zero of a polynomial 'P(x)', then 'P(a)' equals zero.

2. How can I find the zeros of a polynomial?

Ans. To find the zeros of a polynomial, you can use a variety of methods such as factoring, the quadratic formula, or using synthetic division. The specific method depends on the degree of the polynomial and the available information.

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, but some zeros may be repeated. For example, a quadratic polynomial can have at most two distinct zeros, while a cubic polynomial can have at most three distinct zeros.

4. What is the significance of finding the zeros of a polynomial?

Ans. Finding the zeros of a polynomial is significant because it helps us understand the behavior and characteristics of the polynomial function. The zeros provide information about the x-intercepts of the graph, the factors of the polynomial, and the solutions to related equations.

5. Can all polynomials be factored to find their zeros?

Ans. No, not all polynomials can be factored to find their zeros. Some polynomials have complex or irrational zeros that cannot be expressed as simple factors. In such cases, other methods like the quadratic formula or numerical approximation techniques can be used to find the zeros.

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