Question

If $$f(x) = x^4 - ax^3 + x^2 - ax$$ is divided by $$(x - a)$$, then the remainder is ______.

Options

• 0

• a

• – a

• 2a²

Answer 1

If $$f(x) = x^4 - ax^3 + x^2 - ax$$ is divided by $$(x - a)$$, then the remainder is 0.

Explanation:

The remainder is f(a) = a⁴ – a⁴ + a² – a² = 0.