Find the value of P such that 2 ^p sqrt 4 x 1/4

p=-1

Step-by-step explanation:

To find the value of p, we can manipulate the right side so that it looks like the left.

We know that . Therefore, it can be written as 2¹.

is the same as because 2²=4. To make it not a fraction, we can flip it and change the exponent.

Now, we can put them together.

        [multiply]

Now, we know that p=-1.

(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