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# Polynomials - Find Irrational and Imaginary Roots

Worksheet (Algebra)

## Polynomials - Find Irrational and Imaginary Roots Worksheet

This free algebra worksheets contains problems where students must find irrational and imaginary roots of polynomials. Problems include finding all roots, least positive roots, roots to 3 decimal places, finding 3rd degree equations given roots, and solving equations giving 1 root.

## Lesson:

To find irrational and imaginary roots of polynomials

11

3

Yes

## Samples:

Tutor-USA.com Worksheet
Polynomials – Irrational & Imaginary Roots

Find the roots indicated.

1)  x3 - 3x2 - x + 2 = 0 (the least positive)

3) x3 - 7x + 7 = 0 (the 2 roots between 1 and 2)

Find the indicated roots (3 decimal places)
5) 3√6 =

Find the 3rd degree equation given the roots

7) 3, 2 - i

Solve the following equations given 1 root.

10)  x3 - 4x2 + 9x - 36 = 0 (3i)