(x+1)and (x+2) are the factor of polynomial x cube + 3 x square - 3 b X + a then find b and a
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Step-by-step explanation:
From factors, we get x=(-1) and x=(-2)
Putting x=(-1)
(-1)^3+3(-1)^2-3b(-1)+a
=3b+a+2......(1)
Putting x=(-2)
(-2)^3+3(-2)^2-3b(-2)+a
=6b+a+4.....(2)
Eq.(1)-(2)
3b+a+2-(6b+a+4)
(-3b)-2=0
b=(-2/3)
Putting value of b in (1)
3(2/3)+a+2=0
2+a+2=o
a=(-4)
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