Question

PLEASE HELP!!! write in factored form.

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

Answer 1

\[g(x)=x ^{3}+6x ^{2}-25x-150\]

Answer 2

use grouping in pairs

\[(x^3 - 25x) + (6x^2 - 150)\]

remove the common factors...

and you'll be well on the way

Answer 3

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

Answer 4

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.

Answer 5

i have to use synthetic tho...

Answer 6

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



so it factors to (x-5)(x+5)(x + 6)