Question

Use the long division method to find the result when 4x3 -2x2 – 15x + 6 is
divided by x-2

Answer 1

Answer:

$4x^2+6x-3$

Step-by-step explanation:

"/" substitutes the normal division symbol

                  $4x^2$ $+6x$ $-3$

         ______________

$x-2/4x^3-2x^2-15x+6$

         $4x^3$ $-8x^2$

______________________

                 $6x^2$  $-12x$

______________________

                         $-3x+6$

x multiplied by what equals $4x^3$? $x(4x^2)=4x^3$, so the first number that goes on top is $4x^2$. Multiply x by $4x^2$ and put it below to the $4x^3$ on the first row. Multiply x-2 by $4x^2$ and put it below  the $-2x^2$ . Subtract the first row from the second row.

x multiplied by what equals $6x^2$? $6x$. Repeat the same process as before except with $6x^2$