First, factor out the common term 2x from 2x^2 + 8x. This gives us 2x(x + 4).
What is the factored form of 2x^2 + 8x?
Practice Questions
Q1
What is the factored form of 2x^2 + 8x?
2x(x + 4)
2(x + 4)(x + 2)
2x(x + 2)
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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