SOLUTION: Given a polynomial and one of it's factors,find the remaining factors of the polynomial.Some factors may not be binomials. solve for three x cubed plus ten x squared minus x minus

Question 24707: Given a polynomial and one of it's factors,find the remaining factors of the polynomial.Some factors may not be binomials.
solve for three x cubed plus ten x squared minus x minus twelve divided by x plus three.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
solve for three x cubed plus ten x squared minus x minus twelve divided by x plus three.
N.R.=F(X)=3X^3+10X^2-X-12...WE FIND THAT WHEN X=1 ,F(X)=0..HENCE X-1=0..SO DIVIDING BY X-1 USING SHORT DIVISION ...
1...|...3..........10...........-1..............-12
....|...0...........3...........13...............12
---------------------------------------------------------
....|...3..........13...........12................0
SO THE QUOTIENT IS 3X^2+13X+13..NO FURTHER RATIONAL FACTORS ARE POSSIBLE.SINCE B^2-4AC=13^2-4*3*13=169-156=13 IS NOT A PERFECT SQUARE.
SO N.R./D.R.=(X-1)*(3X^2+13X+13)/(X+3)

RELATED QUESTIONS
given a polynomial and one of its factors, find the remaining factors of the polynomial. (answered by Nate)

Given a polynomail and one of its factors, find the remaining factors of the polynomial.... (answered by jsmallt9)

given a polynomial and one of its factors,find the remaining factors of the... (answered by ewatrrr)

Given a polynomial and one of its factors, find the remaining factors of the polynomial.... (answered by stanbon,Edwin McCravy)

Given a polynomial and one of its factors, find the remaining factors of the polynomial.... (answered by stanbon)

Hello, I am having trouble with using Synthetic division to find the remaining factors (answered by longjonsilver)

Prove that the following binomial is one of the factors of the second polynomial:... (answered by josgarithmetic)

Use the given factors of the polynomial to find the remaining factors, and then find the... (answered by lwsshak3)

find the remaining factors of this polynomial. factor completely. 6x^3-25x^2+2x+8;(2x+1)... (answered by jsmallt9)