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In the expression 4x^2 + 8x + 4, what is the common factor?

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Question: In the expression 4x^2 + 8x + 4, what is the common factor?

Options:

  1. 2
  2. 4
  3. 8
  4. x

Correct Answer: 4

Solution: 

The common factor in all terms is 4, so the expression can be factored as 4(x^2 + 2x + 1).

In the expression 4x^2 + 8x + 4, what is the common factor?

Practice Questions

Q1
In the expression 4x^2 + 8x + 4, what is the common factor?
  1. 2
  2. 4
  3. 8
  4. x

Questions & Step-by-Step Solutions

In the expression 4x^2 + 8x + 4, what is the common factor?
  • Step 1: Look at the expression 4x^2 + 8x + 4.
  • Step 2: Identify the coefficients of each term: 4 (from 4x^2), 8 (from 8x), and 4 (the constant term).
  • Step 3: Find the greatest number that can divide all these coefficients evenly. The numbers are 4, 8, and 4.
  • Step 4: The greatest common factor of 4, 8, and 4 is 4.
  • Step 5: Factor out the common factor (4) from the expression: 4(x^2 + 2x + 1).
  • Factoring Polynomials – Identifying and extracting the greatest common factor from a polynomial expression.
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