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04 - Graphical Representation Of Zeroes Of A Polynomial - Class 10 - Maths Video Lecture
FAQs on 04 - Graphical Representation Of Zeroes Of A Polynomial - Class 10 - Maths Video Lecture
| 1. What is the graphical representation of zeroes of a polynomial? |  |
Ans. The graphical representation of zeroes of a polynomial is a visual representation of the points on a graph where the polynomial function intersects the x-axis. These points represent the values of x for which the polynomial is equal to zero.
| 2. How can the graphical representation of zeroes of a polynomial help in solving equations? | |
Ans. The graphical representation of zeroes of a polynomial helps in solving equations by providing a visual representation of the points where the polynomial is equal to zero. By analyzing the graph, we can determine the approximate values of the zeroes and use them to solve the equations.
| 3. How can we find the number of zeroes of a polynomial using its graphical representation? | |
Ans. The number of zeroes of a polynomial can be determined by analyzing its graphical representation. The number of times the graph intersects the x-axis represents the number of zeroes. If the graph intersects the x-axis at a particular point multiple times, it indicates that the corresponding value of x is a zero of multiplicity.
| 4. What does the shape of the graph of a polynomial tell us about its zeroes? | |
Ans. The shape of the graph of a polynomial provides information about the nature of its zeroes. If the graph intersects the x-axis and changes sign at a particular point, it indicates a simple zero. If the graph touches the x-axis without crossing it, it indicates a zero of multiplicity greater than one. If the graph does not intersect or touch the x-axis, it indicates that the polynomial has no real zeroes.
| 5. How can we determine the approximate values of the zeroes of a polynomial using its graphical representation? | |
Ans. The approximate values of the zeroes of a polynomial can be determined by analyzing its graphical representation. By observing the points where the graph intersects the x-axis, we can estimate the values of x for which the polynomial is equal to zero.
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Dec 23, 2024 Last updated |
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