Question

if x²-3x+2 divides x³-6x²+ax+b exactly,then find the value of a and b.​

Answer 1

Answer:

11, -6

Step-by-step explanation:

x²-3x+2 has two roots 1,2

as x²-3x+2 divides x³-6x²+ax+b  ,1 and 2 are also roots of x³-6x²+ax+b

substitute 1 in x³-6x²+ax+b

==> 1-6+a+b=0

==>a+b=5                             (1)

substitute 2 in x³-6x²+ax+b

====>8-24+2a+b=0

===>2a+b=16                     (2)

solving 1,2

a=11,b=-6