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What is the product of the roots of the polynomial x^2 - 5x + 6?

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Question: What is the product of the roots of the polynomial x^2 - 5x + 6?

Options:

  1. 6
  2. 5
  3. 4
  4. 3

Correct Answer: 6

Solution: 

The product of the roots is given by c/a = 6/1 = 6.

What is the product of the roots of the polynomial x^2 - 5x + 6?

Practice Questions

Q1
What is the product of the roots of the polynomial x^2 - 5x + 6?
  1. 6
  2. 5
  3. 4
  4. 3

Questions & Step-by-Step Solutions

What is the product of the roots of the polynomial x^2 - 5x + 6?
Correct Answer: 6
  • Step 1: Identify the polynomial given in the question, which is x^2 - 5x + 6.
  • Step 2: Recognize that this polynomial is in the standard form ax^2 + bx + c, where a = 1, b = -5, and c = 6.
  • Step 3: Use the formula for the product of the roots of a quadratic polynomial, which is given by c/a.
  • Step 4: Substitute the values of c and a into the formula: c = 6 and a = 1.
  • Step 5: Calculate the product of the roots: 6/1 = 6.
  • Step 6: Conclude that the product of the roots of the polynomial x^2 - 5x + 6 is 6.
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