# DIVIDING A POLYNOMIAL BY A BINOMIAL

Problem 1 :

(2x5 – 15x3 – 9x2 + 11x + 12) ÷ (x + 2)

Solution :

Quotient = 2x4 – 4x3 – 7x2 + 5x + 1

Remainder = 10

Fraction form :

Problem 2 :

(x4 – x3 – 19x2 - 3x - 19) ÷ (x - 5)

Solution :

Quotient = x3 + 4x2 + x + 2

Remainder = -9

Fraction form :

Problem 3 :

(10x4 – 4x3 + 14x2 - 14x - 16) ÷ (2x - 2)

Solution :

(10x4 – 4x3 + 14x2 - 14x - 16) ÷ (2x - 2)

2(5x4 – 2x3 + 7x2 – 7x – 8) ÷ 2(x – 1)

(5x4 – 2x3 + 7x2 – 7x – 8) ÷ (x – 1)

Quotient = 5x3 + 3x2 + 10x + 3

Remainder = -5

Fraction form :

Problem 4 :

(9x5 – 9x4 – x3 - 12x2 + x - 11) ÷ (3x - 5)

Solution :

Quotient = 3x4 + 2x3 + 3x2 + x + 2

Remainder = -1

Fraction form :

Problem 5 :

(16x4 + 4x3 + 2x2 - 21x + 7) ÷ (4x - 1)

Solution :

Quotient = 4x3 + 2x2 + x - 5

Remainder = 2

Fraction form :

Problem 6 :

(6x5 + 21x4 – 14x3 - 8x2 + x - 6) ÷ (x + 4)

Solution :

Quotient = 6x4 - 3x3 - 2x2 + 0x + 1

Remainder = -10

Fraction form :

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