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21 September, 18:39

A polynomial is to he constructed that will touch the x axis at most 4 times. What is the minimum degree of the polynomial?

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  1. 21 September, 18:41
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    At most 4 times

    hmm

    where it touches is when y=0

    so just have lots of zeroes

    y = (x-r1) is a zero

    so 4 zeroes is

    y = (x-r1) (x-r2) (x-r3) (x-r4)

    if we expand it it is degree 4

    minimum degree is 4th
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