Question

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

पर्याय

• 0

• –a

• a

• 3a

Answer 1

When $$f(x) = x^3 + ax^2 + 2x + a$$ is divided by $$(x + a)$$, then the remainder is –a.

Explanation:

The remainder is f(–a) = –a³ + a³ – 2a + a = –a.