According to the fundamental theorem of algebra, how many zeros does the polynomial below have?
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Answer:
2? i've never learned this but i just tried to teach myself lol sorry if its wrong i tried
Step-by-step explanation:
The given polynomial has 4 roots.
( may not be all distinct)
Fundamental Theorem of Algebra --
It states that every non-constant polynomial of degree n has exactly n roots counting multiplicity.
i.e. the roots may repeat.
i.e. the number of roots of a non-constant polynomial of degree n has atmost n distinct roots.
We are given a polynomial as:
[tex]f(x)=x^4+5x^3+10x^2+20x+24[/tex]
Clearly the polynomial is of degree 4.
This means that the roots of this polynomial will be: 4
( not all roots may be distinct)