find all polynomial P(x) that satisfy the equation x.P(x-1) = (x-23).P(x)
S stuart clark New member Joined Mar 3, 2011 Messages 25 Mar 25, 2011 #1 find all polynomial \(\displaystyle P(x)\) that satisfy the equation \(\displaystyle x.P(x-1) = (x-23).P(x)\)
find all polynomial \(\displaystyle P(x)\) that satisfy the equation \(\displaystyle x.P(x-1) = (x-23).P(x)\)
D Deleted member 4993 Guest Mar 25, 2011 #2 stuart clark said: find all polynomial \(\displaystyle P(x)\) that satisfy the equation \(\displaystyle x.P(x-1) = (x-23).P(x)\) Click to expand... Hint: P(x) must have roots at x = 0 and x =23 and P(x-1) must have roots at x = 23 (or [x-1] = 22) Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you
stuart clark said: find all polynomial \(\displaystyle P(x)\) that satisfy the equation \(\displaystyle x.P(x-1) = (x-23).P(x)\) Click to expand... Hint: P(x) must have roots at x = 0 and x =23 and P(x-1) must have roots at x = 23 (or [x-1] = 22) Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you
