Question

4a cube-11a square+25a+7 and 2a cube-5a square+11a+7 find hcf​

Answer 1

Answer:

HCF = a² - 3a + 7

Step-by-step explanation:

Apply Euclid's Algorithm:

4a³ - 11a² + 25a + 7 = 2 ( 2a³ - 5a² + 11a + 7 ) + ( -1 ) ( a² - 3a + 7 )

2a³ - 5a² + 11a + 7 = ( 2a + 1 ) ( a² - 3a + 7 ) + 0

Once we've reached 0, the previous remainder was the HCF.  So...

HCF = a² - 3a + 7