September 2018 1 54 Report

1.Dla jakich wartości parametrów a i b wielomiany P(x)=(x^{2}-4)^{2} i Q(x)=x^{4}+(a+3)x^{3}+bx^{2}+16 są równe?

2.Rozwiąż:

a) x^{3}-7x^{2}-4x+28=0

b) (x^{2}+3x)(x^{2}-4)(x^{2}+4x+4)=0

c) -2x^{4}-4x^{3}+6x^{2}\geq0

d) x^{3}-3x^{2}-4x+12>0

e) -2x(x-1)^{2}(x+3)\leq0


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