According to the fundamental theorem oof algebra, how many zeros does the polynomial below have? f(x)=x^3-10x^2+27x-12

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According to the fundamental theorem oof algebra, how many zeros does the polynomial below have? f(x)=x^3-10x^2+27x-12

Answer:

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According to the fundamental theorem of algebra which states that a polynomial of degree “n” will have n number of zeros. Note that some of these zeros might be complex. All you have to do is find the degree of the polynomial, which should be the monomial raised to the highest power. That power is the degree. Here it is 3. As kenneth demonstrated, therefore, it has 3 zeros.