Point A is at (-7,5) and point is at (5,-1).
Find the coordinates of point Bon AC such that AB is 5 times longer than BC.
B=(
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B = (3, 5)

Step-by-step explanation:

Point A is at (-7,5) and point C is at (5,-1).  Find the coordinates of point B on AC such that AB is 5 times longer than BC.  Then, B split AC in a 5:1 ratio.

rise = yC - yA = -1 - 5 = -6

run = xC - xA = 5 - (-7) = 12

c = 5/(5+1) = 5/6

B = (xA + c*run, yA + c*rise)

B = (-7 + 5/6*12, 5 + 5/6*-6)

B = (3, 5)

(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

the answer is ! ?