Alerts Wishlist Cart

If the polynomial P(x) = x^3 - 6x^2 + 11x - 6 has a root at x = 1, what is P(2)?

Practice Questions

Q1
If the polynomial P(x) = x^3 - 6x^2 + 11x - 6 has a root at x = 1, what is P(2)?
  1. 0
  2. 1
  3. 2
  4. 3

Questions & Step-by-Step Solutions

If the polynomial P(x) = x^3 - 6x^2 + 11x - 6 has a root at x = 1, what is P(2)?
  • Step 1: Identify the polynomial P(x) = x^3 - 6x^2 + 11x - 6.
  • Step 2: Substitute x = 2 into the polynomial to find P(2).
  • Step 3: Calculate 2^3, which is 8.
  • Step 4: Calculate 6(2^2), which is 6 * 4 = 24.
  • Step 5: Calculate 11(2), which is 22.
  • Step 6: Now, combine all the results: P(2) = 8 - 24 + 22 - 6.
  • Step 7: First, do 8 - 24, which equals -16.
  • Step 8: Next, add 22 to -16, which equals 6.
  • Step 9: Finally, subtract 6 from 6, which equals 0.
  • Step 10: Therefore, P(2) = 0.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely