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What is the factored form of the polynomial 2x^2 + 8x?

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Question: What is the factored form of the polynomial 2x^2 + 8x?

Options:

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

Correct Answer: 2x(x + 4)

Solution: 

Step 1: Factor out the common term: 2x(x + 4).

What is the factored form of the polynomial 2x^2 + 8x?

Practice Questions

Q1
What is the factored form of the polynomial 2x^2 + 8x?
  1. 2x(x + 4)
  2. 2(x + 4)(x + 2)
  3. 2x(x + 2)
  4. 2(x + 2)(x + 4)

Questions & Step-by-Step Solutions

What is the factored form of the polynomial 2x^2 + 8x?
  • Step 1: Look for the common term in both parts of the polynomial 2x^2 and 8x. The common term is 2x.
  • Step 2: Factor out the common term 2x from the polynomial. This gives you 2x multiplied by what is left after factoring out 2x.
  • Step 3: After factoring out 2x, you are left with (x + 4).
  • Step 4: Write the factored form as 2x(x + 4).
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