SOLUTION: Will you please help me write a quintic function with two imaginary roots, two irrational roots, and one rational root. Thanks!

SOLUTION: Will you please help me write a quintic function with two imaginary roots, two irrational roots, and one rational root. Thanks!

Algebra.Com

Question 838423: Will you please help me write a quintic function with two imaginary roots, two irrational roots, and one rational root. Thanks!

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
x=sqrt(-1), x=-sqrt(sqrt(-1), x=sqrt(2), x=-sqrt(2), x=2
(x-sqrt(-1))*(x+sqrt(-1))=x^2+1
(x-sqrt(2))*(x+sqrt(2))=x^2-2
(x^2+1)(x^2-2)(x-2)
=x^5-2x^4-x^3+2x^2-2x+4
.
Ed
RELATED QUESTIONS
Write a fourth degree polynomial equation with integer coefficients that has two... (answered by jsmallt9)

Will you please help me write cubic function with all rational roots.... (answered by jsmallt9)

I can't remember how to "go backwards" in this equation with imaginary numbers! Can you... (answered by scott8148)

The nature of the roots of the equation 3x^4 + 4x^3 + x - 1 = 0 is _____. A. Three... (answered by MathLover1,greenestamps)

Find a 4th degree polynomial equation with integer coefficients which has two... (answered by Edwin McCravy)

Let's put an equation with that curve. Use y = x2-8x+7 a. What is the value of the... (answered by vleith)

Which describes the number and type of roots of the equation x^2 + 121x = 0 a) 1 real... (answered by richwmiller)

Which describes the number and type of roots of the equation x^2 + 121x = 0 a) 1 real... (answered by richwmiller)

A polynomial function P(x) with rational coefficients has the given roots. Find two... (answered by mananth)