Use the remainder theorem to find the remainder for (x ^5 + 32) divided by (x+2) and state whether or not the binomial is a factor of the polynomial a: 0; yes b: 0; no c: 1; yes d: -1; no

is a factor of because (by the remainder theorem) the remainder upon dividing by is .

There's also the sum of fifth powers formula,

ANSWER

The correct answer is A

EXPLANATION

The given polynomial is

According to the remainder theorem, if p(x) is divided by x+2 the remainder is p(-2).

If the remainder is zero then x+2 is a factor of f(x).

We plug in x=-2 into the function to obtain;

Since the remainder is zero, x+2 is a factor.

The correct answer is A

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4