Question

use the distributive property to factor the expression. 10 + 35x ?(2 + x) this number should be the gcf of 10 and 35x.

Explanation:

Step1: Find GCF of 10 and 35

Factors of 10: \(1, 2, 5, 10\)
Factors of 35: \(1, 5, 7, 35\)
GCF is \(5\).

Step2: Factor using GCF

Divide \(10\) and \(35x\) by \(5\):
\(10 \div 5 = 2\), \(35x \div 5 = 7x\)
So, \(10 + 35x = 5(2 + 7x)\).

Answer:

The first box is \(5\) and the second box is \(7\). So the filled expression is \(5(2 + 7x)\).