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A polynomial that has 5 turning points is multiplied by another polynomial that has 3 zeros. What is the minimum degree of the new polynomial?

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caylus
Hello,

A polynomial with 5 turning points is degree 6.

A polynomial with 3 zeros has minmum degree 3.

  The minimum degree of new polynomial is 6+3=9.


olemakpadu
The polynomial that has 3 zeros is degree 3.

The polynomial with 5 turning points can at least be degree 6.

So minimum when multiplication occurs =    6 + 3 = 9

Minimum degree = 9

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