Factor polynomial $$ m^{2}+m-20 $$

$$ m^{2}+m-20 = ( m-4 )( m+5 ) $$

Step 1: Identify constants $ \color{blue}{ b }$ and $\color{red}{ c }$. ( $ \color{blue}{ b }$ is a number in front of the $ x $ term and $ \color{red}{ c } $ is a constant). In our case:

$$ \color{blue}{ b = 1 } ~ \text{ and } ~ \color{red}{ c = -20 }$$

Now we must discover two numbers that sum up to $ \color{blue}{ 1 } $ and multiply to $ \color{red}{ -20 } $.

Step 2: Find out pairs of numbers with a product of $\color{red}{ c = -20 }$.

PRODUCT = -20
-1     20	1     -20
-2     10	2     -10
-4     5	4     -5

Step 3: Find out which pair sums up to $\color{blue}{ b = 1 }$

PRODUCT = -20 and SUM = 1
-1     20	1     -20
-2     10	2     -10
-4     5	4     -5

Step 4: Put -4 and 5 into placeholders to get factored form.

$$ \begin{aligned} m^{2}+m-20 & = (x + \color{orangered}{\square} )(x + \color{orangered}{\square}) \\ m^{2}+m-20 & = (x -4)(x + 5) \end{aligned} $$

Polynomial Factoring Calculator