Question

For the following polynomial, one zero is given. Find the remaining zeros. f(x) = x\textsuperscript{4} + 7x\textsuperscript{2} - 144, -4i is a zero. List the remaining zeros (other than -4i).

          For the following polynomial, one zero is given. Find the remaining zeros.
f(x) = x\textsuperscript{4} + 7x\textsuperscript{2} - 144, -4i is a zero.
List the remaining zeros (other than -4i).

For the following polynomial, one zero is given. Find the remaining zeros.
f(x) = x4 + 7x2 - 144, -4i is a zero.
List the remaining zeros (other than -4i).

Added by Michael F.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Supreeta N

03/30/2023

Step 1

This is because complex zeros of a polynomial with real coefficients always come in conjugate pairs. Show more…

Show all steps

Thanks for your feedback!

For the following polynomial, one zero is given. Find the remaining zeros. f(x) = x^4 + 7x^2 - 144, -4i is a zero. List the remaining zeros (other than -4i). For the following polynomial, one zero is given. Find the remaining zeros. f(x) = 4 + 7x^2 - 144, -4 is a zero. List the remaining zeros (other than 4).