# How do you factor 7x+35x^2?

Nov 14, 2016

$7 x + 35 {x}^{2} = 7 x \left(1 + 5 x\right)$

#### Explanation:

When trying to find factors, always look for a common factor first.
In this case, both terms contain the factor $7 x$

$7 x + 35 {x}^{2} = 7 x \left(1 + 5 x\right)$

Take note that there were 2 terms in the original expression, so there must be 2 terms inside the bracket.

$7 x \div 7 x = 1 \text{ and } 35 {x}^{2} \div 7 x = 5 x$

An expression will never lead to 0 as an answer to division, unless it started as 0.