Thread: polynomial

The remainder when -4x^2 + 2x + 7 is divided by (x - c) is -5. Find a possible whole number value of c.

Well... why not divide and see what you get! Its too complicated for me to write out but I get x - c goes into -4x^2 +2x +7, -4x + (2-4c) times with a remainder of 7+(2 - 4c)*c

Can you figure it out from there?

Not really...I'd rather someone show me a complete worked out solution (I'd understand how to do this if the -c in x - c was a number). And be quick please everybody... the faster I get a response the more math I can do!

Sorry, if that seemed rude anyway, I'd appreciate any more responses.

Also, I don't think you need to divide -4x^2 + 2x + 7 by the x - c to find out the answer. I am looking for this other way.

The remainder theorem says: If a polynomial is divided by a linear factor , then the remainder is equal to

So, we have the solve the equation:

Move -5 to the other side to get:

This is a simple, factorable quadratic. See if you can go on from here.

I don't understand.

Originally Posted by tyco3c

I don't understand.

Quote what you are refering to so that we know what help you need.

CB