Respuesta :

Step 1

Given;

[tex]A\text{ polynomial problem where the first two steps have be}en\text{ taken}[/tex]

Required; To find the next step.

Step 2

The first two steps where;

1) Arranging the dividend and divisor for the long division method by putting them in the right position.

2) Getting the first part of the quotient 4x

The third/next step will involve;

[tex]\begin{gathered} 1)\text{Multiplying 4x by 2x-7} \\ 4x(2x-7)=8x^2-28x \\ ^{} \end{gathered}[/tex]

[tex]2)\text{ Subtracting }8x^2-28x\text{ from }8x^2+6x[/tex][tex]3)\text{which obtains 34x then bring down -5 and form the new dividend}[/tex]

Hence, the answer will be in the form;

The next step is to subtract 8x²-28x from 8x²+6x, which obtains 34x. Then bring down -5 and form the new divdend 34x-5.