Alerts Wishlist Cart

If the polynomial P(x) = x^2 + bx + c has roots 3 and -2, what is the value of b

Practice Questions

Q1
If the polynomial P(x) = x^2 + bx + c has roots 3 and -2, what is the value of b?
  1. 1
  2. 5
  3. -1
  4. -5

Questions & Step-by-Step Solutions

If the polynomial P(x) = x^2 + bx + c has roots 3 and -2, what is the value of b?
  • Step 1: Identify the roots of the polynomial P(x). The roots given are 3 and -2.
  • Step 2: Use Vieta's formulas, which state that for a polynomial of the form P(x) = x^2 + bx + c, the sum of the roots is equal to -b.
  • Step 3: Calculate the sum of the roots: 3 + (-2) = 1.
  • Step 4: Set the sum of the roots equal to -b: 1 = -b.
  • Step 5: Solve for b by multiplying both sides by -1: b = -1.
  • Vieta's Formulas – These formulas relate the coefficients of a polynomial to sums and products of its roots.
  • Roots of a Polynomial – Understanding how to find the coefficients of a polynomial given its roots.
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