Divide 3x2 − 11x − 4 by x − 4.
x + 1
x − 23
3x + 1
3x − 23

Divide 3x2 − 11x − 4 by x − 4.

A-) x + 1

B-) x − 23

D-) 3x − 23

option c) 3x + 1

Step-by-step explanation:

The answer above is correct, but let met show the correct procedure to do this.

First you do the division

3x² - 11x - 4 / x - 4

To do this, you first divide the first term of the polynomiun (3x2) with the first term of the dividend (x).

3x² - 11x - 4 / x - 4 = 3x

Once you do this, multiply the number of the quotient by all the terms in the dividend, and the result of that, put it with the opposite sign below in rest like this:

3x² - 11x - 4 / x - 4 = 3x   > 3x* x = 3x² <--> -3x² in the rest

-3x²

Do the same with the other term:

3x² - 11x - 4 / x - 4 = 3x > 3x * (-4) = -12x <---> 12x

-3x² + 12x

Do then, the math of those terms:

3x² - 11x - 4 / x - 4 = 3x

-3x² + 12x

 0 + 1x - 4

Now, do the same procedure with the terms of the rest, and you should get the correct

3x² - 11x - 4 / x - 4 = 3x + 1

-3x² + 12x

 0 + 1x - 4

       -1x + 4

            0

That's why the result is 3x + 1