Which of the following is a like radical to 3 sqrt 7x? a. 4(3 sqrt 7x) b. sqrt 7x c. x(3 sqrt 7) d. 7 sqrt x

a

Step-by-step explanation:

Options A and B

i.e., A. 4(3) and B.

Step-by-step explanation:

Like radicals are similar to like terms.

For example,

x, 2x, -10x, , 7.3x are like terms.

are some more examples of like terms.

Similarly, like radicals are:

etc.

Hence, from the given options, like radicals to are:

A. and 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