Question

Question 17 of 25According to the fundamental theorem of algebra, how many zeros does thepolynomial below have?f(x)=x²-12x³ + 7x-5Answer hereSUBMIT

Answer 1

Solution:

The polynomial is given below as

$x^5-12x^3+7x-5$

Concept:

Fundamental theorem of algebra:

It states that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers. The roots can have a multiplicity greater than zero.

Hence,

Using the fundamental theorem of algebra,

The number of zeros the polynomial is going to have will be

$\Rightarrow5$