535 все примеры надеюсь не мало

Question

Математика: 535 все примеры надеюсь не мало

leda2003 · Accepted Answer

1) P(x) = x^2 + 3x + 4; Q(x) = x - 2 P(x) = x^2 - 4x + 4 + 4x - 4 + 3x + 4 = (x-2)^2 + 7x = (x-2)^2 + 7(x-2) + 14 = = (x - 2)*(x - 2 + 7) + 14 = (x - 2)(x + 5) + 14 3) P(x) = 6x^3 + 3x^2 - 4x + 3; Q(x) = 2x + 1 P(x) = 6/8*(8x^3 + 3*4x^2 + 3*2x + 1) - 6/8*12x^2 - 6/8*6x - 6/8 + 3x^2 - 4x + 3 = 3/4*(2x+1)^3 - 9x^2 - 9/2*x - 3/4 + 3x^2 - 4x + 3 = = 3/4*(2x+1)^3 - 6x^2 - 17/2*x + 9/4 = = 3/4*(2x+1)^3 - 3/2*(4x^2 + 4x + 1) + 6x + 3/2 - 17/2*x + 9/4 = = 3/4*(2x+1)^3 - 3/2*(2x+1)^2 - 5/2*x + 15/4 = = 3/4*(2x+1)^3...

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