Question

Let p(x) and q(x) be polynomials as shown below.

p(x) = a0 + a1x + a2x2... + anxn
q(x) = b0 + b1x + b2x2... + bmxm

Which of the following is true regarding the sum and difference of p(x) and q(x)?

A.)The sum of p(x) and q(x) is an integer, and the difference is a polynomial.

B.)The sum and difference of p(x) and q(x) are integers.

C.)The sum and difference of p(x) and q(x) are polynomials.

D.)The sum of p(x) and q(x) is a polynomial, and the difference is an integer.

Answer 1

why not make a educated guess

Answer 2

@coffee789

Answer 3

I would go with "B" what do you think

Answer 4

Example:
Let p(x)=5x^2+x-1
and q(x)=2x-1
find p(x)-q(x) and find p(x)+q(x)
what are the outcomes?