Question

Find the values of A and B for which ax cube minus 11 X square + a x + b is exactly divisible by x square - 4 x minus 5

Answer 1

Hi ,

It is given that ,

11x² + ax + b is exactly divisible by

x² - 4x - 5 ,

x² - 4x - 5 ) 11x² + ax + b ( 11
**************11x² - 44x - 55
____________________
*******************ax + 44x + b + 55

ax + 44x + b + 55 = 0


( a + 44 )x + ( b + 55 ) = 0

Therefore ,

a + 44 = 0 and b + 55 = 0

a = - 44 and b = - 55

I hope this helps you.

: )