Question

Determine how many, what type, and find the roots for f(x) = x3 - 5x2 – 25x + 125.

Answer 1

@iPwnBunnies

Answer 2

@OliverSt4rz

Answer 3

http://www.mathsisfun.com/algebra/fundamental-theorem-algebra.html
this might help.

Answer 4

i atill dont get it @praxer

Answer 5

$$\huge x^2(x−5)−25(x−5) = 0$$

Answer 6

(x2-25)(x-5)?

Answer 7

see, for $$\huge x^3-5x^2$$ part, take $$\huge x^2 $$ common

Answer 8

than for $$\huge -25x+125$$ part take $$\huge -25$$ common.

Answer 9

then we will get $$\huge x^2(x-5)-25(x-5)=0$$
now take

$$\huge (x-5) $$ common,

than you get,

$$ \huge (x^2-25) (x-5) =0 $$

finally you get,

$$ \huge (x+5) (x-5)^2 $$

got it.

Answer 10

so, roots shall be $$\huge \pm 5$$