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

Question

Layla Vance

Mathematics

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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Answers (1)

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Tripod · Answer 1

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