# If the polynomials and leave the same remainder when they are divided by , find the value of . Also find the remainder.

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8 + 12 – m

20 – m

When is divided by (x – 2) then the remainder is

16 + 9 – 2m

21 – 2m

As per the question, the two remainders are equal.

20 – m = 21 – 2m

m = 1

Remainder = 21 – 2(1) = 19