Question

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

Answer 1

There are 3 zeros in this function

Answer 2

recall the fundamental theorem of algebra, there are as many zeros as the degree of the polynomial.

$\bf f(x)=\stackrel{\textit{the polynomial is of the 11th degree}}{4x^{\stackrel{\downarrow }{11}}-20x^7+2x^3-15x+14}$