Basic Math Examples

\frac{w^{2} + 9 w - 3}{w^{2} - 4 w + 3}

$\frac{w^{2} + 9 w - 3}{w^{2} - 4 w + 3}$

Step 1

Consider the form

x^{2} + b x + c

$x^{2} + b x + c$ . Find a pair of integers whose product is

c

$c$ and whose sum is

b

$b$ . In this case, whose product is

3

$3$ and whose sum is

- 4

$- 4$ .

- 3, - 1

$- 3, - 1$

Step 2

Write the factored form using these integers.

\frac{w^{2} + 9 w - 3}{(w - 3) (w - 1)}

$\frac{w^{2} + 9 w - 3}{(w - 3) (w - 1)}$