# Math

Find all complex zeros for the following polynomial function. Please show all of your work.

f(x) = x^4 - 91x^2 - 900

Hi, I need help... I'm not understanding this complex zero..

1. 0
2. 0
3. 1
1. Substitute: x^2=z => x^4=z^2

z^2-91z-900=0
(z-100)(z+9)=0
If z=100, x^2=100 then x=10 or x=-10
If z=-9, x^2=-9=9i^2 then x=3i or x=-3i

1. 0
2. 0
posted by Mgraph

## Similar Questions

1. ### Calculus

Score for Question 2: ___ of 40 points) For the polynomial (x)=x^5-5x^4+12x^3-24x^2+32x-16 , answer the following questions. Show all of your work. How many zeros does the function have over the set of complex numbers? What is the
2. ### algebra

find all complex zeros for the following polynomial function please show all your work f(x) = x^3 - 125 ????????
3. ### calculus

find the complex zeros of the polynomial function. write f in factored form. f(x)=x^3-10x^2+42x-72 please show work.

find the complete zeros of the polynomial function. Write f in factored form. f(x)=3x^4-10x^3-12x^2+122x-39 **Use the complex zeros to write f in factored form.** f(x)= Please show work
5. ### Algebra

I need help with a few questions, please explain. 1. Write a polynomial function in standard form with zeros -1, -1, 6. 2. Find the roots of the equation x^3 – 3x^2 + x + 5 3. Describe the number and type of roots for the
6. ### calculus

use rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^3-8x^2-31x-22 **please show work**
7. ### Precalculus

Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros show work please
8. ### Algebra

Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find
9. ### calculus

Find the complex zeros of the polynomial function. Write f in factored form. f(x)=3x^4-10x^3-12x^2+122x-39 Please show wrok, I do not understand how to do this.
10. ### Math Problem2

List all possible rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely. Please show all of your work. f(x) = 5x^4 – x^3 - 33x^2 – 43x – 16

More Similar Questions