Simplify (x^2+13x+36)/(x^2-7x+10)

$\frac{x^{2} + 13 x + 36}{x^{2} - 7 x + 10}$

Step 1

Factor $x^{2} + 13 x + 36$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $36$ and whose sum is $13$ .

$4, 9$

Write the factored form using these integers.

$\frac{(x + 4) (x + 9)}{x^{2} - 7 x + 10}$

Step 2

Factor $x^{2} - 7 x + 10$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $10$ and whose sum is $- 7$ .

$- 5, - 2$

Write the factored form using these integers.

$\frac{(x + 4) (x + 9)}{(x - 5) (x - 2)}$

Simplify (x^2+13x+36)/(x^2-7x+10)

Related Questions

Support LCMGCF.com by disabling your adblocker.