Answer:
4x + 7 - 5/ (5x² - 3x + 2)
Explanation:
please see attachment.
1) divide 20x³ by 5x² to get 4x. write that on top.
2) multiply 4x by (5x² - 3x + 2) to get 20x³ - 12x² + 8x
3) subtract (20x³ - 12x² + 8x) from (20x³ + 23x² - 13x + 9) to get
35x² - 21x + 9
4) divide 35x² by 5x² to get 7
5) multiply 7 by 5x² - 3x + 2 to get 35x² - 21x + 14
6) subtract (35x² - 21x + 14) from (35x² - 21x + 9) to get -5
7) we cannot divide -5 by 5x². so -5/(5x² - 3x + 2) is the remainder.
answer is 4x + 7 + -5/(5x² - 3x + 2)
= 4x + 7 - 5/(5x² - 3x + 2)