3 years ago

If the polynomial

Mathematics

1 answer:

erik [133]3 years ago

3 0

Answer:

Step-by-step explanation:

<u>Given polynomial:</u>

x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³

<u>Group as follows:</u>

(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

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