Find a monic polynomial f(x) of least degree over C that has the given numbers...

tebollahb

tebollahb

Answered

2022-01-14

Find a monic polynomial f(x) of least degree over C that has the given numbers as zeros, and a monic polynomial g(x) of least degree with real coefficients that has the given numbers as zeros.
-3i, 4

Answer & Explanation

Esta Hurtado

Esta Hurtado

Expert

2022-01-15Added 39 answers

Step 1
Given,
Zeros, −3i,4
it has three zeros ±3i,4
these zeros are factor of the equation
g(x)=(x-3i)(x+3i)(x-4)
now solve this equation
(x2+9)(x4)=0
x34x2+9x36=0
so it is a cubic polynomial
Step 2
so polynomial is x34x2+9x36=0

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?