Minimum or maximum value of f(x)=−0.5x2+2x−5.

In the equation assign each number a letter:

A = -0.5, b = 2 and c = -5

Maximum = -b/2a = -2/2(-0.5) = 2

Minimum = replace x in the equation with the maximum and solve for y:

-0.5(2)^2 +2(2) -5 = -3

Maximum and minimum = (2,-3)

(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