PLEASE HELP!!! write in factored form.

show work
use synthetic division
group factors
factor
all factors degree of 1

Question

PLEASE HELP!!! write in factored form.

show work
use synthetic division
group factors
factor
all factors degree of 1

pinknabastak · Answer

$$g(x)=x ^{3}+6x ^{2}-25x-150$$

campbell_st · Answer

use grouping in pairs

$$(x^3 - 25x) + (6x^2 - 150)$$

remove the common factors... 

and you'll be well on the way

pinknabastak · Answer

how do i use synthetic division for this and what are the "common factors"

campbell_st · Answer

ok... so you have to use all of them,....

I can show you  polynomial division... I don't do synthetic... even though its much the same.

pinknabastak · Answer

i have to use synthetic tho...

campbell_st · Answer

start by showing 

x = -5 and x = 5 are zeros

f(-5) = 0 and f(5) =  0


the that means 

(x -5)(x +5) = x^2 - 25 is a factor 

then its simply 

|dw:1388085717034:dw|

so it factors to (x-5)(x+5)(x + 6)