# Is it possible to factor y=x^2+8x+20 ? If so, what are the factors?

Jun 3, 2018

There are no rational and real factors.

#### Explanation:

The expression${x}^{2} + 8 x + 20$ does not have real and rational factors.
There are no factors of $+ 20$ which ADD to give $8$

However, the expression ${x}^{2} + 8 x - 20$ has two factors:

$\left(x + 10\right) \left(x - 2\right)$

The factors $10 \mathmr{and} - 2$ are factors of$- 20$ can be added to give 8