Find the quotient and remainder after  -2x^2-x-4−2x 2 −x−4  is divided by  x+6x+6  using long division method.

Sure, let's perform the long division step by step.

First, let's correct the expressions. The dividend is -2x^2 - x - 4 and the divisor is x + 6.

Step 1: Divide the first term of the dividend (-2x^2) by the first term of the divisor (x). This gives us -2x.

Step 2: Multiply the divisor (x + 6) by the result from step 1 (-2x) and subtract this from the original dividend. This gives us a new dividend of -x - 4 - (-2x - 12) = x - 8.

Step 3: Repeat the process. Divide the first term of the new dividend (x) by the first term of the divisor (x). This gives us 1.

Step 4: Multiply the divisor (x + 6) by the result from step 3 (1) and subtract this from the new dividend. This gives us a new dividend of x - 8 - (x + 6) = -14.

So, the quotient is -2x + 1 and the remainder is -14.