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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the factored form of 2x^2 + 8x?
  • Step 1: Look at the expression 2x^2 + 8x.
  • Step 2: Identify the common term in both parts of the expression. Here, the common term is 2x.
  • Step 3: Factor out the common term 2x from the expression. This means you divide each part of the expression by 2x.
  • Step 4: When you factor out 2x, you get 2x multiplied by what is left. For 2x^2, when you divide by 2x, you get x. For 8x, when you divide by 2x, you get 4.
  • Step 5: Write the factored form as 2x(x + 4).
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