Long Division

Question

(-4 x^5 + 8 x^4 - 2 x^3 + 5 x^2 + 4 x - 4)/(9 x^2 + 5 x + 7)

Answer 1

The function is .

Divide the first term of the dividend by the first term of the divisor -4x⁵/9x²= -4x³/9

So, the first term of the quotient is -4x³/5. Multiply (9x²+ 5x + 7) by -4x³/5 and subtract.

Divide the first term of the last row by firsy term of the divisor 12x⁴/9x² = 4x²/3

So,the second term of the quotient is 4x²/3. Multiply (9x²+ 5x + 7) by 4x²/3 and subtract.

Divide the first term of the last row by first term of the divisor  (-380x³/81)/9x² = - 380x/729.

So,the third term of the quotient is (- 380x/729). Multiply (9x²+ 5x + 7) by (- 380x/729) and subtract.

Divide the first term of the last row by first term of the divisor (- 251x²/729)/9x² = -251/6561.

So,the fourth term of the quotient is (-251/6561). Multiply (9x²+ 5x + 7) by (-251/6561) and subtract.

Quotient is

Remainder is