Write an equation of a line PERPENDICULAR to
y = 2x + 3 through (-2, 4).

y= -0.5+8

Step-by-step explanation:

Any line that is perpendicular to a line is the opposite and inverse.

Ex. for a line to be perpendicular to 2, the reverse would be -2 and the opposite is -1/2.

Now we need to focus on the b in y=mx+b.

To do that, we plug in 4 as y and -2 in x to find b.

4=2(-2)+b

4=-4+b

And we find that b is 8.

So in conclusion, y=-0.5+8

(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