Thread: NEED HELP ASAP Quartic factoring

1. NEED HELP ASAP Quartic factoring

hey everbody got an assignment from my math teacher today that me and the rest of the class are absolutly stumped on"

f(x) = X^4 - 3x^3 - 13x^2 + 3X + 12
f(-1) = 0

Then i synthetically divided and came up with this unfinished division statement.

Therefore: X^4 - 3x^3 - 13x^2 + 3X + 12
= ( X + 1 ) ( X^3 - 4X^2 - 9X + 12)
= ryguy272 totally stuck

ANY HELP APPRECITATED ( i cant spell )

2. Hello, ryguy272!

$f(x) \:=\: x^4 - 3x^3 - 13x^2 + 3x + 12$

$f(-1) \,=\, 0$
Then i divided and came up with:
. . $x^4 - 3x^3 - 13x^2 + 3X + 12 \:=\:(x + 1)( x^3 - 4x^2 - 9x + 12)$

. . . totally stuck

I guess you didn't notice that: $f(1) = 0$ . . . so $(x-1)$ is also a factor.

3. Whenever the coefficients add up to 0, you have 1 as a root. It's a quick tip when you're looking to drop a polynomial down a notch.