Question

Find the quotient and remainder of the following. 

(i) (4x³ + 6x² – 23x + 18) ÷ (x + 3) 

(ii) (8y³ – 16y² + 16y -15) ÷ (2y – 1) 

(iii) (8x³ – 1) ÷ (2x – 1) 

(iv) (-18z + 14z² + 24z³ + 18) ÷ (3z + 4)

Answer 1

(i) (4x³ + 6x² – 23x + 18) ÷ (x + 3)

Quotient = 4x² – 6x – 5 

Remainder = 33

(ii) (8y³ – 16y² + 16y -15) ÷ (2y – 1)

Quotient = 4y² – 6y + 5 

Remainder = -10

(iii) (8x³ – 1) ÷ (2x – 1)

Quotient = 4x² + 2x + 1

Remainder = 0

(iv) (-18z + 14z² + 24z³ + 18) ÷ (3z + 4)

Quotient = 8z² – 6z + 2 

Remainder = 10