Question

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

x3 + 3x − 1
x3 + 4x − 1
x3 + 3x2 + 3x − 1
x3 + 2x2 − x + 1

Answer 1

Compute (x + 1)(x^2 + 2x − 1) = x^3 + 3x^2 + x − 1.
Add C = 2x: x^3 + 3x^2 + 3x − 1.

So the simplest form is x^3 + 3x^2 + 3x − 1.