Dana says any vector can be represented as the sum of two vectors: . ardis says any vector can be represented as the difference of two vectors: . which one, if either, is correct?

Both Dana and Ardis are correct in their respective statements.

This is because a difference of two vectors can always be represented as the sum of a positive vector and a "negative" vector. (Please note that a negative vector is a vector whose direction has been turned or has been made "opposite".)

The following explanation will further clarify.

Let us say and are two vectors. Then the difference of the two vectors can be represented as:

(where is the resultant vector).

Thus, as we can see a difference of two vectors can be thought of as the sum of two vectors.

6 (3) - 4 + 32

hope this

(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