Question

Find r(x + 1) if r(x) = x3+x+1

Answer 1

x^3 + 3x^2 + 4x + 3

Explanation:

Please write this as r(x) = x^3+x+1. " ^ " represents exponentiation.

Given r(x) = x^3+x+1, replace each x with (x + 1) (must use parentheses here):

r(x + 1) = (x + 1)^3 + (x + 1) + 1, or

= x^3 + 3x^2 + 3x + 1 + x + 1 + 1, or

= x^3 + 3x^2 + 4x + 3