Synthetic Division, Long Division, Remainder Theorem

• x + 5 + (2/2x - 4)
• x - 8
• x - 5 + (3/2x - 4)
• x + 5

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25

• 25

• 113

• -113

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

Use synthetic division to determine f(-3), if
f(x)= (3x³ -5x² -4x +1).

• -25

• 25

• 113

• -113

Solve the following: (n³ + 10n² + 31n + 32) /(n +6)

• n² + 4n + 5, remainder -12

• n² + 4n + 8, remainder -14

• n² + 4n + 7, remainder -11

• n² + 4n + 7, remainder -10

Use synthetic division and the remainder theorem to evaluate the polynomial at the given value of x

Mathematical Equivalence

ON

2x³ + 7x² - 6x - 8 ÷ x + 4

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2