SOLVING CUBIC EQUATIONS USING SYNTHETIC DIVISION WORKSHEET

Problem 1 :

Use synthetic division to divide

f(x) = x³ + 12x² + 41x + 30 by x + 5.

Use the result to find all zeros of f.

A) (-5, 6, 1)     B) (5, -6, -1)     C) (-5, -6, -1)     D) (5, 6, 1)

Solution

Problem 2 :

Use synthetic division to divide

f(x) = x³ + 1x² - 26x + 24 by x + 6

Use the result to find all zeros of f.

A) (-6, -4, -1)     B) (6, 4, 1)     C) (-6, 4, 1)     D) (6, -4, -1)

Solution

Problem 3 :

Use synthetic division to divide

f(x) = x³ - x² - 26x - 24 by x + 1.

Use the result to find all zeros of f.

A) (1, -6, 4)     B) (1, 6, -4)     C) (-1, -6, 4)     D) (-1, 6, -4)

Solution

Problem 4 :

x³ - 5x² + 2x + 8 = 0; 2

A) (4, 1, 2)     B) (-4, 1, 2)     C) (4, -1, 2)    D) (-4, -1, 2)

Solution

Problem 5 :

2x³ + 10x² - 4x - 48 = 0; -3

A) (2, -4, -3)     B) (-2, 4, -3)     C) (-2, -4, -3)     D) (2, 4, -3)

Solution

Use synthetic division to divide the polynomials given below, then find the quotient and remainder.

Problem 1 :

(x² + 8x + 1) ÷ (x - 4)

Solution

Problem 2 :

(4x² - 13x - 5) ÷ (x - 2)

Solution

Problem 3 :

(2x² - x + 7) ÷ (x + 5)

Solution

Problem 4 :

(x³ - 4x + 6) ÷ (x + 3)

Solution

Problem 5 :

(x² + 9) ÷ (x - 3)

Solution

Problem 6 :

(3x³ - 5x² - 2) ÷ (x - 1)

Solution

Problem 7 :

(x⁴ – 5x³ - 8x² + 13x - 12) ÷ (x - 6)

Solution

Problem 8 :

(x⁴ + 4x³ + 16x - 35) ÷ (x + 5)

Solution