Find Complex Zeros of a Polynomial Using the Fundamental Theorem of Algebra

Practice Questions

Pre-Calculus › Find Complex Zeros of a Polynomial Using the Fundamental Theorem of Algebra

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1

Find a fourth-degree polynomial whose zeroes are , and $-2\pm \sqrt{2i}$

2

If the real zero of the polynomial is 3, what are the complex zeros?

3

The third-degree polynomial expression $f(x)=x^{3}-x^{2}+4x-4$ has a real zero at . Find all of the complex zeroes.

4

Find all the zeroes of the following equation and their multiplicity: $g(t)=t^{5}-6t^{3}+9t$

5

The polynomial has a real zero at 1.5. Find the other two zeros.

6

Find all the zeroes of the following equation and their multiplicity:

7

Find all the real and complex zeroes of the following equation:

8

The polynomial intersects the x-axis at point . Find the other two solutions.

9

Find a fourth degree polynomial whose zeroes are -2, 5, and $-2\pm \sqrt{2i}$

10

The third degree polynomial expression has a real zero at . Find all of the complex zeroes.

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