Question

(5x³ + x² + x - 13)/(x² - 1). long division

a) 5x - 4
b) 5x + 4
c) x - 4
d) x + 4

Answer 1

To divide the polynomial (5x³ + x² + x - 13) by the polynomial (x² - 1), we perform long division. The quotient is 5x - 4 and the remainder is 7x - 13.

Step-by-step explanation:

To divide (5x³ + x² + x - 13) by (x² - 1), we perform long division:

5x - 4

_____________________

x² - 1 | 5x³ + x² + x - 13

- (5x³ - 5x)

____________

6x² + x - 13

- (6x² - 6x)

____________

7x - 13

The remainder is 7x - 13, but it does not divide evenly. Therefore, the answer is (5x - 4) with a remainder of (7x - 13) divided by (x² - 1).