Question

The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and a polynomial is (x2 – 5). What is the polynomial?

Answer 1

x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75

Explanation:

(x⁵ – 3x³ – 3x² – 10x + 15) ˣ (x² – 5) = x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75