Question

Explain how you can use the distributive property to find rational number factors of an expression.

Answer 1

Explanation for the use of distributive property

We can first find the factors of the rational number then we can use the reverse of the distributive property to find the factors of expression.

for example:

$$\begin{gathered} \frac{3}{2}x+\frac{1}{2}=\left(\left(3x\right)\frac{1}{2}+\frac{1}{2}\right) \\ =\frac{1}{2}(3x+1) \end{gathered}$$ (taking $\frac{1}{2}$ as common factor)