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Amanda [17]
2 years ago
14

A polynomial is to be constructed that will touch the x axis at most 8 times. What is the minimum degree of the polynomial?

Mathematics
1 answer:
Harman [31]2 years ago
7 0
The maximum number of roots to a polynomial of order n is n roots. Take the example of a quadratic (order 2) which can intersect the x-axis a maximum of 2 times, and similarly a cubic (order 3) 3 times maximum.

Hence for 8 intersections, minimum order = 8
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