52/8 = 6
6*8 = 48
52-48 = 4
So 52 = 6*8+4
The quotient is 6, the remainder is 4.
The answer is the one that has a denominator of X-5 :)
If the roots to such a polynomial are 2 and

, then we can write it as

courtesy of the fundamental theorem of algebra. Now expanding yields

which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.
So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use

as a root. In this case, that would make our polynomial

so that the answer is (probably) the third choice.
Whoever originally wrote this question should reevaluate their word choice...
Answer:
-4y + 20
Step-by-step explanation:
4(-y+5)
What we need to do here is get rid of the parentheses, which can be achieved through multiplication.
This is another way of saying 4 times -y plus 4 times 5.
Let's break the the parentheses down into 2 separate formulas.
4(-y) and 4(5)
Now we can multiply these two together to get -4y and +20. When combined, we get -4y +20.
I am pretty sure that it is C.