Question

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How many zeros does the function f(x) = 4x11 _ 20x7 + 2x3 _ 15x + 14 have?

11
7
5
3 <---- correct ?

Answer 1

The correct answer is 11 because that is the highest degree in the polynomial.

Answer 2

The highest exponent represents how many solutions we can find for the equation, now the roots for the plane are limited by the real numbers. This means that all solutions for f(x)=0 are not necessarily real numbers, so they will become complex, therefore they can't be counted as roots.

number of real roots=3