please solve this :-
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Step-by-step explanation:
If x³-4x²+ax+b is exactly divisible by x-2 and x+1, then x=2,-1 should satisfy the equation.
Putting x=2 in x³-4x²+ax+b
=> 8-16+2a+b =0
=>2a+b = 8
Putting x = -1 in x³-4x²+ax+b
=> -1-4-a+b=0
=> b-a = 5
On solving both the equation-:
a=1
b=6
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