SOLUTION: X is a number such that when ( x+1)� is divided by (X-2),the quotient is 16 and the reminder is (X-3).what are the values of X?

Question 971206: X is a number such that when ( x+1)� is divided by (X-2),the quotient is 16 and the reminder is (X-3).what are the values of X?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
, a way of saying the same as the description. The rational expression for the left member must be 16 with a remainder x-3, and of course the denominator is x-2 for that remainder. Performing the division should not be necessary.

Multiply both members by x-2:

, which seems factorable...

x=3 or x=12
RELATED QUESTIONS
x is a number such that when (x+1)^2 is divided by (x-2), the quotient is 16 and the... (answered by mananth,dj8055)

when a polynomial P(x) is divided by 3x-4, the quotient is x^3+2x+2 and the reminder is... (answered by ikleyn)

The polynomials (ax^3 + 3x^2 - 3) and (2x^3 - 5x + a) when divided by (x - 4) leaves the (answered by lwsshak3)

When x^3 -4x^2 + k -5 is divided by x-2, the reminder is -1. Find the value of... (answered by CubeyThePenguin)

1. Factorise: X^6 - 7X^3 - 8 2. Find the factor for X^2 + 5√2x + 12 3. If... (answered by ikleyn)

find quotient and reminder if f(x) is divided by p(x). 3. f(x)=3x^3+2x-4 ;... (answered by Fombitz)

93xy is divisible by 72. then, x= y= when this number is divided by 6,8,and... (answered by jsmallt9)

What is the quotient of x^4-16 divided by... (answered by Alan3354)

Find the quotient and remainder when P(x)=x^4+x^3+2x is divided by... (answered by Boreal,stanbon)