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. 👁 131
  1. Substitute: x^2=z => x^4=z^2

    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

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Davide wants to find the zeros of the polynomial p(x)=x3−2x2−9x+18. His work is shown below. Step 1: p(x)=(x+3)(x−3)(x−2) Step 2: x+3=0 x−3=0 x−2=0 Step 3: x=2, x=3, x=−3 Explain why Davide’s work shows that 2, 3,

    asked by London on December 7, 2019
  2. Algebra

    Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I

    asked by Soly on October 12, 2007
  3. Pre-Calc

    A polynomial function f(x) with real coefficients has the given degree, zeros, and solution point. Degree: 3 Zeros: -2,2+2√2i Solution Point: f(−1) = −68 (a) Write the function in completely factored form. (b) Write the

    asked by Ben Dover III on March 2, 2018
  4. algebra

    Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function h(x)=7x^4-9x^3-41x^2+13x+6 if more than one zero, separate with

    asked by Pat on October 17, 2015
  5. Algebra

    Find the complex zeros of the following polynomial function. Write f in the factored form. F(x)=2x^4-5x^3-20x^2+115x-52

    asked by Bri on October 19, 2014
  1. college algebra--need help please!!

    information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.

    asked by ladybug on November 23, 2012
  2. Math

    Which of the following statements about a polynomial function is false? 1) A polynomial function of degree n has at most n turning points. 2) A polynomial function of degree n may have up to n distinct zeros. 3) A polynomial

    asked by Muneer on April 28, 2020
  3. calculus

    use the given zeros to find the remaining zeros of the function h(x)=x^4-9x^3+12x^2+138x-1360 zero:3-5i enter the remaining zeros of f please show work

    asked by Heather on December 1, 2012
  4. 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

    asked by Arielt on March 14, 2010
  5. Algebra

    Suppose that a polynomial function of degree 5 with rational coefficients has​ 6, −2+4i, 4−sqrt2 as zeros. Find the other zeros. Thank you!

    asked by Aleesha on December 6, 2016
  6. Math

    A polynomial function with rational coefficients has the following zeros. Find all additional zeros. 2, -2 + ã10

    asked by Christopher on May 3, 2010

You can view more similar questions or ask a new question.