SOLUTION: if x-1 and x+1 are both factors of the equation x^3+px^2+qx+6=0

SOLUTION: if x-1 and x+1 are both factors of the equation x^3+px^2+qx+6=0

Algebra.Com

Question 960471: if x-1 and x+1 are both factors of the equation x^3+px^2+qx+6=0
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the other factor

The given equation is:

------------
The other factor is ,
or
-------------
the equation is:

check:

OK

RELATED QUESTIONS
find the values of p and q respectively if (x-2) and (x+1) are both factors of... (answered by josgarithmetic)

two points (1,y)and (-1,x)lie on the curve y=px^2+qx+5 if y+x=14 what is the value of... (answered by sdmmadam@yahoo.com)

If one root of the equation x^2-px+20=0 is four while the equation x^2-qx+p=0 has equal... (answered by greenestamps,ikleyn)

If one root of the equation x^2-px+20=0 is four, while the equation x^2-qx+20=0 has equal (answered by ikleyn)

: If one root of the equation x^2-px+20=0 is four, while the equation x^2-qx+p=0 has... (answered by ikleyn)

find the value of x if p+1=0 and... (answered by jjordan95)

If x+4-4i is a factor of the function f(x) = px^2 + qx + r, show that p,q and r are in... (answered by josgarithmetic)

I have been asked to show that (x+2) and (x-5) are factors of x^4+px^2+qx-40 Using... (answered by stanbon,rothauserc)

Given y=Px^2+Qx+R,find the values of P,A and R,when the roots x are -2 and 0... (answered by josgarithmetic,MathTherapy)