Problem 126 of 7
Explain polynomial closure under addition using (5x - 8) + (2x + 10).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
reason that results remain polynomials.
Hidden until you reveal it.
Operation must be addition, subtraction, or multiplication of polynomials.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. State the structure of polynomial terms.
2. Describe how the operation changes coefficients and exponents.
3. Conclude the result remains a polynomial.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Examples only when a general explanation is requested.