IF YOUR GOOD AT MATH!!

Part A: Create a fifth-degree polynomial in standard form. How do you know it is in standard form? (5 points)

Part B: Explain the closure property as it relates to addition of polynomials. Give an example. (5 points)

Please make one yourself, not something that is already on the internet or i will fail this! Thanks so much!

A. Here's a fifth degree polynomial,

f(x) = x⁵ + 4x⁴ - 14x² + 9

It's in standard form, each term a constant coefficient times a whole number power of x (including the constant, which we can think of as the coefficient on x⁰=1), with the terms sorted from highest degree (highest power on x) to lowest.

B.  The closure of addition wrt polynomials just means when we add two polynomials we get another polynomial.

f(x) = x⁵ + 4x⁴ - 14x² + 9

g(x) = -2x⁴  + x

f(x)+g(x) = x⁵ + 2x⁴ - 14x² + x + 9

We added two polynomials, we got another one, that's all closure is.

about 0.75 hours

step-by-step explanation: