The remainder after dividing x4 + 3x3 − 8x2 + 5x − 9 by x + 5 is

16 is the remainder of the division.

Step-by-step explanation:

The given equation is and we have to divide this expression by x = (-5)

We can find the remainder by synthetic division

-5 |     1      3     -8       5     (-9)  

               -5      10    -10     25

      ---------------------------------------

         1      -2     2      -5      16

We can rewrite the expression as

Therefore, remainder of the division is 16.

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do your homework.

use mnemonics and other tricks.

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note: the best i know.

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