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Let p(x) = 2x − x3 and q(x) = x4 − 2x2 + 2x. Find a polynomial f(x) ∈ Q[x] such that it leaves remainder x2 +x when divided by p(x) and it leaves remainder x when divided by q(x).
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Nov 12, 2021
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Let p(x) = 2x − x3 and q(x) = x4 − 2x2 + 2x. Find a polynomial f(x) ∈ Q[x] such that it leaves remainder x2 +x when divided by p(x) and it leaves remainder x when divided by q(x).
Mathematics
high-school
Nisha Salim
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Answer:
2x-3x=x4-2x2+2x
x=8x
x*x=8
Stefan Dunn
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Nov 16, 2021
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Stefan Dunn
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