Q.

According to the fundamental theorem of algebra, how many roots does the polynomials

F(x) = x4 + 3x2 + 7. Have over the Complex numbers and counting roots with multiplicity greater tan one as district? (i.e. f (x) = x2 has two roots, both are zero)

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a

One

b

Two

c

three

d

four 

answer is D.

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Detailed Solution

Given equation: x4 + 3x2 +7
As we can see that the above given equation is of degree 4
Which is greater than 0 (4 > 0)
And coefficients are also complex here
Means the multiplicity is 4

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