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10. If(y-3) is a factor ofy^3-2y^2-9y+ 18 then find the other two factors.

Answer»

y-3 is one of the factorso y^3-2y^2-9y+18=y^3-3y^2+y^2-3y-6y+18=y^2(y-3)+y(y-3)-6(y-3)=(y-3)(y^2+y-6)=(y-3)(y+3)(y-2)so other two factors are (y+3) and (y-2)



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