Questions: Factor. 24+8x

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

Solution

Step 1: Identify the Polynomial

The given expression to factor is \[ 24 + 8x. \]

Step 2: Factor Out the Greatest Common Factor

To factor the polynomial, we first identify the greatest common factor (GCF) of the terms \(24\) and \(8x\). The GCF is \(8\).

Step 3: Write the Factored Form

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

Step 4: Final Factored Expression

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

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

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