Question

When a polynomial p(x) is divided by x-1 it leaves remainder 5 when it is divided by x+2 it leaves remainder 7 find the remainder when it is divided by (x-1)(x+2) ?

Answer 1

p(x)=7

p(x)=(x-1)(x+2)

p(7)=(7-1)(7+2)

= 6*9

= 54

ans is 54

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