Question

Factor the expression 4x + 32. Explain each step you take in the process.

Answer 1

The expression 4x + 32 is factored by finding the greatest common factor which is 4, resulting in the factored form 4(x + 8).

Step-by-step explanation:

To factor the expression 4x + 32, we look for the greatest common factor (GCF) that both terms share. The number 4 is the GCF because it can divide both of the terms evenly. Thus, we take 4 out of each term:

Extract the GCF: 4(x + 8)

Check the factoring: 4 * x gives us the original 4x, and 4 * 8 gives us the original 32.

Therefore, the factored form of the expression 4x + 32 is 4(x + 8).

Answer 2

The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).

Step-by-step explanation:

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