Register
Which of the following is the correct factorization of the polynomial below? x^3-15
193k views
2 votes
Which of the following is the correct factorization of the polynomial below? x^3-15

User Baohoang
by
7.6k points

2 Answers

5 votes
The polynomial is irreducible.
User Sshet
by
8.8k points
6 votes

Answer with explanation:

Use the identity to solve the problem


a^3 -b^3=(a-b)(a^2+ab+b^2)\\\\x^3-15=x^3-(15^{(1)/(3))^3}\\\\=[x-(15)^{(1)/(3)}][x^2+(15)^{(1)/(3)}x+((15)^{(1)/(3)})^(2)]\\\\=[x-(15)^{(1)/(3)}][x^2+(15)^{(1)/(3)}x+(15)^{(2)/(3)}]

User Ivan Bolnikh
by
8.9k 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

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
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?
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.
Link Copied!