What is the maximum number of relative extremes contained in the graph of this function f(x)=3x^4-x^2+4x-2

Final answer is 3.

Step-by-step explanation:

Given function is .

Now we need to find about what is the maximum number of relative extremes contained in the graph of the given function .

Degree of the given function = 4.

Because degree is the highest power of variable.

Then relative number of extremas = degree - 1 = 4 - 1 = 3

Hence final answer is 3.

b

step-by-step explanation:

ez

(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