a polynomial leaves remainder 2 and 1 when divided by X - 1 and x-2 find the remainder when the 2 and 1 when divided by( X-1) and (x - 2) find the remainder when the polynomial is divided by (X - 1) ( X - 2)
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Answer:
-X+3
Step-by-step explanation:
We know that the remainder from (x-1) is 2
=> P(1) = 2
We know that the remainder from (x-2) is 1
=> P(2) = 1
We need to find out the remainder of polynomial P(x) when divided by (x-1)(x-2)
Let us say D = (x-1)(x-2), the quotient is Q and the remainder is R
The remainder will be of the format Ax + B, because it is the remainder after division by a quadratic.
P(x) = Q*D + Ax + B
P(1) = Q*0 + A + B
=> 2 = A + B
P(2) = Q*0 + 2A + B
=> 1 = 2A + B
Solving these equations, we get A = -1 and B = 3
=> R = Ax + B
=> Remainder is -x + 3
Answered by
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Answer:
la pachamama de turquia
Step-by-step explanation:
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