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Polynomials - Find Irrational and Imaginary Roots

Free Algebra Worksheet - Polynomials - Find Irrational and Imaginary Roots


Lesson:
To find irrational and imaginary roots of polynomials

Subject:
Algebra

Description:
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.

# of Problems:   11

# of Pages:   3

Answer Key?:   Yes

Sample Problems from Worksheet

(Worksheet pictures and diagrams not shown)

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)

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