Register
Find all real and complex zeros of the following polynomial f(x)=x^(3)-3x^(2)+25x-75
68.0k views
1 vote
Find all real and complex zeros of the following polynomial f(x)=x^(3)-3x^(2)+25x-75

User Zvonicek
by
8.7k points

1 Answer

6 votes

Answer:

Hi,

Explanation:


x^3-3x^2+25x-75=x^2(x-3)+25(x-3)\\\\=(x-3)(x^2+25)\\\\=(x-3)(x^2-25i^2)\\\\f(x)=(x-3)(x-5i)(x+5i)\\\\Zeros\ are\ \{3,5i,-5i \}

User Mike Furtak
by
8.1k points
← Prev Question Next Question →

No related questions found

Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
Mr. Jacob is 55 years old and tony is 7 years old. in how many years will mr. Jacobs be 4 times as old as Tony
Link Copied!