9514 1404 393
Answer:
see attached
Explanation:
Polynomial long division is done using the same methods as for numerical long division. Each quotient term is multiplied by the divisor, and that product subtracted from the dividend to get the new dividend. You are done when the degree of the dividend is less than the degree of the divisor.
As with numbers, 0 is put where a placeholder is needed. Here, that is needed for the (missing) x^2 term in the dividend.
As with numbers, the remainder is expressed as a fraction using the divisor as the denominator.
The full quotient is 4x^2 +2x +11/4 +37/(8x-4).