The ratio of the remainders when the expression \( x^{2}+a x+b \) is divided by \( (x-2) \) and ...

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The ratio of the remainders when the expression \( x^{2}+a x+b \) is divided by \( (x-2) \) and \( (x-1) \) respectively is \( 4: 3 \). Find \( a \) and \( b \) if \( (x+1) \) is a factor of the expression.
(a) \( 9,-10 \)
(b) \( -9,10 \)
(c) 9,10
(d) \( -9,-10 \)
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