Questions: Factor. 24+8x

Factor. 24+8x
Transcript text: Factor. \[ 24+8 x \]
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Solution

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Solution Steps

Step 1: Identify the Polynomial

The given expression to factor is 24+8x. 24 + 8x.

Step 2: Factor Out the Greatest Common Factor

To factor the polynomial, we first identify the greatest common factor (GCF) of the terms 2424 and 8x8x. The GCF is 88.

Step 3: Write the Factored Form

We can express the polynomial as: 24+8x=8(248+8x8)=8(3+x). 24 + 8x = 8 \left( \frac{24}{8} + \frac{8x}{8} \right) = 8 \left( 3 + x \right).

Step 4: Final Factored Expression

Thus, the fully factored form of the polynomial is: 8(x+3). 8 \left( x + 3 \right).

Final Answer

8(x+3)\boxed{8(x + 3)}

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