Answer:
Below.
Step-by-step explanation:
I can't see the words on your image very well but I can give you an explanation of the remainder theorem.
The theorem allows you to find the remainder of a division without doing the division itself.
You can find the remainder when a polynomial is divided by a linear expression like 3x - 2, for example, using this theorem.
An example will explain the method:
What is the remainder when x^3 - x^2 - 2x - 5 is divided by 2x - 1?
Put 2x - 1 = 0, this gives x = 0.5.
Now we plug x = 0.5 into the polynomial:
This = (0.5)^3 - (0.5)^2 -2(0.5) - 5 = -6.125
So the remainder is -6.125.
The formal definition is
The remainder when P(x) is divided by x - a is f(a).
