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Vedmedyk [2.9K]
3 years ago
14

You know that polynomial equations can have real or complex zeros. Suppose the quadratic equation has one complex zero. Accordin

g to the Fundamental Theorem of Algebra, does this equation have any other zeros? If so, how many zeros does it have?
Mathematics
1 answer:
Troyanec [42]3 years ago
3 0
According to the fundamental theorem of algebra, a polynomial has the number of zeros equivalent to the degree of the polynomial.

A quadratic equation is of degree 2 and hence has 2 zeros.

A complex zero is of the form a\pm bi which represents two zeros: a + bi and a - bi.

Thus, since a quadratic equation has only 2 zeros, a quadratic equation with a complex zero already have two zeros and hence will not have any other zero.
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