(a) Calculate the resultant of A = 3x² +3 and B = (x-2)(x+5) by hand. (b) Let A, B, C be non-constant polynomials in R[z]. Show that res(A, BC) = res(A, B).res(A,C).

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(a) Calculate the resultant of A = 3x² +3 and B = (x − 2)(x + 5) by hand.
(b) Let A, B, C be non-constant polynomials in R[x].
Show that res(A, BC) = res(A, B) - res(A,C).
Transcribed Image Text:(a) Calculate the resultant of A = 3x² +3 and B = (x − 2)(x + 5) by hand. (b) Let A, B, C be non-constant polynomials in R[x]. Show that res(A, BC) = res(A, B) - res(A,C).
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