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3 years ago

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

1 answer:

Harman [31]3 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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Hey there!!

Given,

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<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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