Question

Divide using polynomial long division.
6. (10x³ + 5x² - 1) / (2x³ - 4x² - x + 2)

Answer 1

The polynomial can be divided to get;

(10·x³ + 5·x² - 1)/(2·x³ - 4·x² - x + 2) =
`5+(15\cdot x^2 + 5\cdot x - 11)/(2\cdot x^3 - 4\cdot x^2 - x + 2)`

The steps used in dividing the polynomial using polynomial the long division method can be presented as follows;

The division of the expression using polynomial long division can be presented as follows;

5

2·x³ - 4·x² - x + 2 |10·x³ + 5·x² - 1

10·x³ - 20·x² - 5·x + 10

25·x² + 5·x - 11

Therefore, we get;

(10·x³ + 5·x² - 1)/(2·x³ - 4·x² - x + 2) = 5 + (15·x² + 5·x - 11)/(2·x³ - 4·x² - x + 2)