Question

If the polynomial

Answer 1

Answer:

• (C) - x

Step-by-step explanation:

Given polynomial:

• x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³

Group as follows:

• (x¹⁹ + x¹⁷) + (x¹³ + x¹¹) + (x⁷ + x⁵) + (x³ + x) - x =
• x¹⁷(x² + 1) + x¹¹(x² + 1) + x¹⁵(x² + 1) + x(x² + 1) - x

As we see all terms have (x² + 1) as factor apart from the last one.

It means the remainder is - x

Correct choice is C