Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the line y = 1/4x + 5

y=-4x+2

Step-by-step explanation:

The line passes through (0,2), so chuck these numbers in and you get a value of 2 for c. If you're sharp, you might spot that this point is the y-intercept of the line since the x- coordinate is 0, this point is on the Y-axis, and you don't even have to throw numbers in.

Therefore the equation of the line is:

y = -4x + 2

Hope that was clear!

(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