1. ## Polynomials question

Let p, q, r be the polynomials:

p(x) = 2x^4 - 3x^3 - 5x^2 + x - 1
q(x) = 4x^2 - 4x + 2
r(x) = x^3 - x

a) Evaluate each of p, q, r at 0 and 1.
b) Compute pr, q^2 and q(p-r)
c) Find the quotient and remainder on dividing p by q.

2. Originally Posted by brumby_3
Let p, q, r be the polynomials:

p(x) = 2x^4 - 3x^3 - 5x^2 + x - 1
q(x) = 4x^2 - 4x + 2
r(x) = x^3 - x

a) Evaluate each of p, q, r at 0 and 1.
b) Compute pr, q^2 and q(p-r)
c) Find the quotient and remainder on dividing p by q.
what's the problem for you here regarding this question ? where do you get stuck ?

3. Originally Posted by brumby_3
Let p, q, r be the polynomials:

p(x) = 2x^4 - 3x^3 - 5x^2 + x - 1
q(x) = 4x^2 - 4x + 2
r(x) = x^3 - x

a) Evaluate each of p, q, r at 0 and 1.
b) Compute pr, q^2 and q(p-r)
c) Find the quotient and remainder on dividing p by q.
Do you understand that (a) is just integer arithmetic? (b) is not much harder. (c) could be hard but there are several different ways to do it. What methods of polynomial division have you learned?