September 2018 1 29 Report

DZIAŁANIA NA WIELOMIANACH

1. Wiedząc, że: W(x) = x^{4}+3x^{3}-5x^{2}+x-6, P(x) = 2x^{3}+4x^{2}-11x+2 i Q(x) = x^{5}-4x^{4}+6x^{3}-x^{2}+2x-3 , wykonaj działania:

a) W(x) + 2P(x)

b) P(x) + Q(x) + W(x)

c) 3Q(x) - W(x)

d) [W(x) + P(x)] - Q(x)

2. Wykonaj działania:

a) (2x^{2} + x)^{2} - (3x^{2} + 1)^{2}

b) 5(x^{3} + x^{2} + 2x +1) ( 3x - 2) - (2x^{2} + 3x)^{2}

c) -4 ( x + 1)^{3} - (4x +2) (4x - 2) + (3x +1) (x^{2} + 3x - 2)


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