Select the correct answer.
Which expression is equivalent to this polynomial?
x2 + 8

D ( x -2i sqrt(2)) ( x+ 2i sqrt(2))

Step-by-step explanation:

x^2 + 8

We want to factor so rewrite as squares

x^2 + (2sqrt(2))^2

Rewrite with a subtraction sign i^2 = -1

x^2 - (2*i*sqrt(2))^2

This is the difference of squares

a^2 - b^2 = ( a-b) (a+b)

( x -2i sqrt(2)) ( x+ 2i sqrt(2))

Option D is the correct answer

Step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

i dont know if you cant find a way its best to actually add all of them start from 105 tho

step-by-step explanation: