What value of b makes the polynomial below a perfect square?

x2 + bx + 36

b =

a. 6
b. 12
c. 18
d. 3

The correct option is B.

Step-by-step explanation:

The given polynomial is

               .... (1)

A perfect square trinomial is

         .... (2)

On comparing (1) and (2), we get

            .... (3)

Taking square root both the sides.

Put y=6 in equation (3).

The value of b is 12, therefore the correct option is B.

(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

they are simplified

step-by-step explanation: