Step-by-step explanation:
Given
Divide by the following:
(a) 3x² + 2x + 1
- 6x³ + 4x² - x + 5 =
- 2x(3x²) + 2x(2x) + 2x - 3x + 5 =
- 2x(3x² + 2x + 1) + (-3x + 5)
Quotient = 2x, remainder = -3x + 5
(b) x³ - 3x + 2
- 6x³ + 4x² - x + 5 =
- 6(x³) - 6(3x) + 6(2) + 4x² + 22x - 7
- 6( x³ - 3x + 2) + (4x² + 22x - 7)
Quotient = 6, remainder = 4x² + 22x - 7
(c) 6x² + x - 2
- 6x³ + 4x² - x + 5 =
- x(6x²) + x(x) - x(2) + 3x² + x + 5 =
- x(6x² + x - 2) + (3x² + x + 5)
Quotient = x, remainder = 3x² + x + 5
