Question

directions: identify the gcf and factor each

1. 8x + 16

6x + 16

Explanation:

Step1: Find GCF of 8x and 16

The factors of \(8x\) are \(8 \times x\), and the factors of \(16\) are \(8 \times 2\). So the GCF is \(8\).

Step2: Factor out GCF

Using the distributive property \(ab + ac = a(b + c)\), factor out \(8\) from \(8x + 16\):
\(8x + 16 = 8(x + 2)\)

Answer:

The factored form is \(8(x + 2)\) and the GCF is \(8\).