on dividing x3-3x+2 by a polynomial g(x),the quotient and remainder were x-2 and -2x+4, respectively. find g (x)
vandanarajput:
x3 nhi x2 hoga
nhi x3 hi hoga
ok
it can be
sory
sorry
Tb mai hai
what r u saying
i dont understand
Answers
Answered by
4
Hiii friend,
Q(X) = X-2
R(X) = -2X+4
P(X) = X³-3X+2
G(X) = ?
We know that,
P(X) = Q(X) × G(X) + R(X)
G(X) = P(X) - R(X)/Q(X)
G(X) = X³-3X+2 - (-2X+4)/X-2 = X³-3X+2+2X-4/X-2
G(X) = X³-X-2/X-2 = X-2(X²-1)/X-2 = X²-1
Hence,
G(X) = X²-1
Q(X) = X-2
R(X) = -2X+4
P(X) = X³-3X+2
G(X) = ?
We know that,
P(X) = Q(X) × G(X) + R(X)
G(X) = P(X) - R(X)/Q(X)
G(X) = X³-3X+2 - (-2X+4)/X-2 = X³-3X+2+2X-4/X-2
G(X) = X³-X-2/X-2 = X-2(X²-1)/X-2 = X²-1
Hence,
G(X) = X²-1
Answered by
2
Q(X) = X-2
- R(X) = -2X+4
- P(X) = X³-3X+2
- G(X) = ?
We know that,
- P(X) = Q(X) × G(X) + R(X)
- G(X) = P(X) - R(X)/Q(X)
- G(X) = X³-3X+2 - (-2X+4)/X-2 = X³-3X+2+2X-4/X-2
- G(X) = X³-X-2/X-2 = X-2(X²-1)/X-2 = X²-1
Hence,
- G(X) = X²-
Answer:
- G(X) = X²-
Step-by-step explanation:
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