# How do you factor completely #x^3 - 8x^2 + 5x + 50 = 0#?

##### 1 Answer

Nov 13, 2015

#### Explanation:

We know that if a number solves such an equation, it must divide its last coefficient, i.e.

#f(1)=48 ne 0# ;#f(-1)= 36 ne 0# #f(2) =36 ne 0# #f(-2) = 0# .

So,

Now we must factor the second parenthesis, but you can see that it is the square of