The remainder when -4x^2 + 2x + 7 is divided by (x - c) is -5. Find a possible whole number value of c.
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.
The remainder theorem says: If a polynomial $\displaystyle p(x)$ is divided by a linear factor $\displaystyle x - a$, then the remainder is equal to $\displaystyle p(a)$
So, we have the solve the equation: $\displaystyle p(a) = -5 \ \iff \ -4a^2+2a + 7 = -5$
Move -5 to the other side to get: $\displaystyle -4a^2 + 2a + 12 = 0$
This is a simple, factorable quadratic. See if you can go on from here.