Originally Posted by

**mathFAIL** So my Algebra2 Final exam is on thursday and my teacher was/is none the less incompitent . SO needless to say i'm not doing well in his class , just like every other student he teaches . So my question (out of the many of millions i have) is this:

"GIven the polynomial and one of it's factors, find the remaining factors: 5x^3+12x^2-23x-42;(x-2)"

if anyone could possibly help me with this i would greatly apprieciate it.

-kaye.

synthetic division with the known zero ...

Code:

2] .........5..........12.........-23.........-42
......................10...........44..........42
--------------------------------------------------
............5..........22..........21...........0

note the last line represents the coefficients of the depressed polynomial.

the cubic factors as

$\displaystyle y = (x-2)(5x^2 + 22x + 21)$

and the quadratic will also factor ...

$\displaystyle y = (x-2)(5x+7)(x+3)$

you should know how to find the other two zeros.