Find an equation for the linear function which has a slope of 8 and x intercept of 5

y = 8x-40

Step-by-step explanation:

The slope intercept form of a line is

y= mx+b  where m is the slope and b is the y intercept

We know the slope is 8 and the x intercept is 5 ( 5,0)

y = 8x +b

Substitute the point into the equation

0 = 8(5)+b

0 = 40+b

b=-40

The equation is

y = 8x-40

(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