First of all F(x) is not reducible over Z . Because when u express f(x)= 3(x^2+2) according to you we express polynomial into two other polynomial but the fact is the degree of these two polynomial should be lesser than F(x) i.e 2 here degree of first polynomial is 0 and other polynomial degree is 2 that's why given polynomial is not reducible over Z
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sir aapne ne to eg. se start kiya h... general statement kya hoga ???
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Reducible k bary m ku n btaya .what is meant by reducible
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That is not Gauss Lemma sir
It says , product of two primitive polynomials is primitive.
Pls correct it😢
F (x)=3x^2+6 is reducible in z but not in Q.bcz 3 is not unit in z
First of all F(x) is not reducible over Z . Because when u express f(x)= 3(x^2+2) according to you we express polynomial into two other polynomial but the fact is the degree of these two polynomial should be lesser than F(x) i.e 2 here degree of first polynomial is 0 and other polynomial degree is 2 that's why given polynomial is not reducible over Z
Small correction Gcd (1,10)=1
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