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The quadratic equation 3x^2 + 12x + 12 = 0 can be simplified to what form? (2022

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Question: The quadratic equation 3x^2 + 12x + 12 = 0 can be simplified to what form? (2022)

Options:

  1. x^2 + 4x + 4 = 0
  2. x^2 + 3x + 4 = 0
  3. x^2 + 2x + 1 = 0
  4. x^2 + 6x + 4 = 0

Correct Answer: x^2 + 4x + 4 = 0

Exam Year: 2022

Solution: 

Dividing the entire equation by 3 gives x^2 + 4x + 4 = 0.

The quadratic equation 3x^2 + 12x + 12 = 0 can be simplified to what form? (2022

Practice Questions

Q1
The quadratic equation 3x^2 + 12x + 12 = 0 can be simplified to what form? (2022)
  1. x^2 + 4x + 4 = 0
  2. x^2 + 3x + 4 = 0
  3. x^2 + 2x + 1 = 0
  4. x^2 + 6x + 4 = 0

Questions & Step-by-Step Solutions

The quadratic equation 3x^2 + 12x + 12 = 0 can be simplified to what form? (2022)
  • Step 1: Start with the original quadratic equation: 3x^2 + 12x + 12 = 0.
  • Step 2: Identify the common factor in all terms of the equation. Here, the common factor is 3.
  • Step 3: Divide each term of the equation by 3. This means you divide 3x^2 by 3, 12x by 3, and 12 by 3.
  • Step 4: After dividing, you get: x^2 + 4x + 4 = 0.
  • Step 5: Now, you have simplified the original equation to its new form.
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