Question

The Remainder Theorem states that:
Select one:
a. if a polynomial f(x) is added by x – k, then the remainder is r = f(k).
b. if a polynomial f(x) is multiplied by x – k, then the remainder is r = f(k).
c. if a polynomial f(x) is divided by x – k, then the remainder is r = f(k).
d. none of the above

Answer 1

"The Remainder Theorem
When we divide a polynomial f(x) by x-c we get:
f(x) = (x-c)·q(x) + r(x)
But r(x) is simply the constant r (remember? when we divide by (x-c) the remainder is a constant) .... so we get this:
f(x) = (x-c)·q(x) + r
Now see what happens when we have x equal to c:
f(c) = (c-c)·q(c) + r
f(c) = (0)·q(c) + r
f(c) = r"
https://www.mathsisfun.com/algebra/polynomials-remainder-factor.html
With this said what do you think the answer is? Sorry if it seems confusing..

Answer 2

multiplied?

Answer 3

Take note of the word "\(\sf \color{red}{Remainder}\)"

and try to read what pooja said about the "\(\sf \color{red}{Remainder}\)" Theorem. What should you get to get a remainder? do you add? do you multiply? do you subtract? or do you divide?

Answer 4

It states that the remainder of the division of a polynomial by a linear polynomial is equal to. In particular, is a divisor of if and only if.
so division?

Answer 5

yes