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A polynomial has exactly 7 roots. The graph tends towards positive infinity in both directions. Write down some information about what you know about his polynomial.

 Oct 10, 2017
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A polynomial has exactly 7 roots. The graph tends towards positive infinity in both directions. Write down some information about what you know about his polynomial.

 

MMm 

Well the leading coefficient is positive.

The degree is even and great or equal to 8.

That is about all I have I guess.

 

I was thinking there are exactly 7 real roots (plus some imaginary ones) but maybe you mean exactly 7 roots which includes real and imaginary.

 

If that is what you mean then my answer is not correct.

If it has exactly 7 roots then one of the roots must be a double.

It will have a degree of 8 (or more if there are more double roots, degree must be even )

Definitely a positve leading coefficient.

 

That is my 2 bob worth! :)

 Oct 11, 2017

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