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Which of the following is the correct factorization of 2x^2 + 8x?

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Question: Which of the following is the correct factorization of 2x^2 + 8x?

Options:

  1. 2x(x + 4)
  2. 2(x^2 + 4x)
  3. x(2x + 8)
  4. 2x^2(1 + 4)

Correct Answer: 2x(x + 4)

Solution: 

First, factor out the greatest common factor, which is 2x. This gives us 2x(x + 4).

Which of the following is the correct factorization of 2x^2 + 8x?

Practice Questions

Q1
Which of the following is the correct factorization of 2x^2 + 8x?
  1. 2x(x + 4)
  2. 2(x^2 + 4x)
  3. x(2x + 8)
  4. 2x^2(1 + 4)

Questions & Step-by-Step Solutions

Which of the following is the correct factorization of 2x^2 + 8x?
  • Step 1: Look at the expression 2x^2 + 8x.
  • Step 2: Identify the greatest common factor (GCF) of the terms. The GCF of 2x^2 and 8x is 2x.
  • Step 3: Factor out the GCF (2x) from the expression. This means you divide each term by 2x.
  • Step 4: Write the expression as 2x multiplied by what is left after factoring out the GCF. The remaining part is (x + 4).
  • Step 5: Combine the factored GCF and the remaining part to get the final factored form: 2x(x + 4).
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