Divide 29a² – 40a - 11a³ + 2a⁴+ 29 by a² - 3a + 4.
Answers
Xmarty AdiTi
Answer:
Given :
p ( x ) = 29 a² – 40 a - 11 a³ + 2 a⁴+ 29
g ( x ) = a² - 3 a + 4 .
Rewrite p ( x ) as :
p ( x ) = 2 a⁴ - 11 a³ + 29 a² – 40 a + 29 .
Now :
a² - 3 a + 4 ) 2 a⁴ - 11 a³ + 29 a² – 40 a + 29 ( 2 a² -5 a + 6
2 a² - 6 a³ + 8 a²
- + -
0 - 5 a³ + 21 a² - 40 a
- 5 a³ + 15 a² - 20 a
- - +
0 6 a² - 20 a + 29
6 a² - 18 a + 24
- + -
0 - 2 a + 5
f ( x ) = 2 a² -5 a + 6
Hence we get answer .