Please help me with this problem

Step-by-step explanation:

Givens

The midpoint formula is (x2 + x1)/2 , (y2 + y1)/2 = x_mid,y_mid

y_mid = 1

x_mid = -1

y2= 4

x2 = 2

Solution

(2 + x1)/2 = -1

(2 + x1) = -1 * 2

2 + x1 = -2

x1 = -2 -2

x1 = - 4

(4 + y1)/2 = 1

4 + y1 = 2

y1 = 2 - 4

y1 = -2

Answer (-4,-2)

(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