Question

If x²⁵ + x²⁴ is divided by (x + 1), the result is ______.

Options

• 49

• 1

• 0

• –1

Answer 1

If x²⁵ + x²⁴ is divided by (x + 1), the result is 0.

Explanation:

We know that, if f(x) is divided by x – a

Then remainder = f(a)

Let f(x) = x²⁵ + x²⁴ and f(x) is divided by x – (–1)

Then remainder = f(–1)

= (–1)²⁵ + (–1)²⁴

= –1 + 1

= 0