Hi! This is a silly question but I never understood how to do these types of polynomials :/
P(x)=(x+1)(x-3)Q(x)+(-2x+6)
Where Q(x) is a polynomial.
Find the remainder when P(x) is divided by (x+1)(x-3)
Sorry if this is dumb D: Thank you!
Neutron
Don't worry, I still hate these, always makes me do a double take, not sure why
Just to add a bit more to Rui's explanation. Go back to basics (and make it a little more colloquial than normal). Remember that when we divide something, we are really determining how many times the divisor goes (fully) into the dividend, that number being the quotient. The number leftover is the remainder. So really, what we are doing is separating the dividend into
[quotient] groups of the divisor, plus the remainder. That's the division transformation:
As Rui said, in your case the question is easy. Our
divisor is \((x+1)(x-3)\), so our remainder is actually in the question itself!!