Question

Mattthhh , i need help

Given the functions j(x) = x2 + 3 and k(x) = x2 − x + 4, which operation results in a 2nd degree polynomial?

a. Addition
b. Subtraction
c. Multiplication
d. No operations

Answer 1

For this case we have the following functions:

`j (x) = x ^ 2 + 3 k (x) = x ^ 2 - x + 4`
An operation that results in a polynomial of the second degree is the sum of both functions.
When adding the functions we have:

`j (x) + k (x) = (x ^ 2 + 3) + (x ^ 2 - x + 4)`
Rewriting we have:

`j (x) + k (x) = 2x ^ 2 - x + 7`
The result is a second-degree polynomial
Answer:
An operation that results in a 2nd degree polynomial is:
a. Addition