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

Question

3 months ago

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

The choices are: A. 6d5 – 2c3d2 + 5c2d3 – 12cd4 + 8 B. 6d5 – 4c3d2 + 3c2d3 – 4cd4 + 8 C. 6d5 – 4c3d2 + 5c2d3 – 12cd4 + 8 D. 6d5 – 2c3d2 – 3c2d3 – 4cd4 + 8

Mathematics

2 answers:

PIT_PIT [12.4K] · Answer 1 · 2026-02-21T18:52:11+03:00

Answer: The correct choice is A.

Step-by-step explanation: We have a polynomial that is the result of adding two other polynomials.

The resulting polynomial is: $8d^5-3c^3d^2+5c^2d^3-4cd^4+9$

One of the polynomials being summed is: $2d^5-c^3d^2+8cd^4+1$

Let us denote the other polynomial as 'x'

According to the problem statement:

$8d^5-3c^3d^2+5c^2d^3-4cd^4+9=x+(2d^5-c^3d^2+8cd^4+1)$

$x=8d^5-3c^3d^2+5c^2d^3-4cd^4+9-(2d^5-c^3d^2+8cd^4+1)$

Combining like terms in the equation provided results in:

$x=(8d^5-2d^5)+(-3c^3d^2+c^3d^2)+(5c^2d^3)+(-4cd^4-8cd^4)+(9-1)$

$x=6d^5-2c^3d^2+5c^2d^3-12cd^4+8$

The final answer, therefore, is option A.

Svet_ta [12.7K] · Answer 2 · 2026-02-21T18:52:51+03:00

Svet_ta [12.7K]3 months ago

3 0

Answer:

6d5 – 2c3d2 + 5c2d3 – 12cd4 + 8