Question

The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?

Answer 1

A which is 6d5 – 2c3d2 + 5c2d3 – 12cd4 + 8

Answer 2

This one is a bit confusing but I'll try to answer. Since the sum is given and one of the addend is given, we need to perform subtraction to get the other addend.

8d⁵ - 3c³d² + 5c²d³ - 4cd⁴ + 9 ⇒ SUM
- 2d⁵ - c³d² + 8cd⁴ + 1 ⇒ 1ST ADDEND
6d⁵ - 2c³d² + 5c²d³ -12cd⁴ - 8 ⇒ 2ND ADDEND