if p(x)=x cube -ax square +bx +3 leaves a remainder -19 when divided by x+2 and a remainder 17 when divided by (x-2) ,prove that a+b=6.
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Answer:
r (x)=-19,17 g (x)=x+2,x-2
W.K.T
p (x)=g (x)×q (x)+r(x)
x^3+ax^2+bx=x+2×q (x)-19
2a-b=q (x)-19+2
2a-b=q (x)-17
2)x^3+ax^2+bx=×-2×17
x^2+x (a+2)-17=0
sorry I am not available for this question.
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Step-by-step explanation:
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