Factor the expression 4x + 32. Explain each step you take in the process.
Answer:
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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The factor form of the expression 4x + 32 is 4(x + 8)
The given expression is:
4x + 32
Find the Highest Common Factor of 4x and 32
The factors of 4x are 1, 2, 4, x, 2x, and 4x
The factors of 32 are 1, 2, 4, 8, 16, and 32
The common factors of 4x and 32 = 1, 2, 4
The Highest common factor of 4x and 32 = 4
Factor out 4 from 4x + 32
4x + 32 = 4(x + 32)
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