Alerts Wishlist Cart

If the polynomial P(x) = x^2 - 5x + 6 is factored, what are the roots?

Practice Questions

Q1
If the polynomial P(x) = x^2 - 5x + 6 is factored, what are the roots?
  1. 2 and 3
  2. 1 and 6
  3. 3 and 2
  4. 0 and 6

Questions & Step-by-Step Solutions

If the polynomial P(x) = x^2 - 5x + 6 is factored, what are the roots?
  • Step 1: Start with the polynomial P(x) = x^2 - 5x + 6.
  • Step 2: Look for two numbers that multiply to the constant term (6) and add up to the coefficient of x (-5).
  • Step 3: The two numbers that work are -2 and -3 because (-2) * (-3) = 6 and (-2) + (-3) = -5.
  • Step 4: Rewrite the polynomial using these numbers: P(x) = (x - 2)(x - 3).
  • Step 5: To find the roots, set each factor equal to zero: x - 2 = 0 and x - 3 = 0.
  • Step 6: Solve for x in each equation: x = 2 and x = 3.
  • Step 7: The roots of the polynomial are 2 and 3.
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