Działania na wielomianach prosze o rozwiązanie :)
Działania na wielomianach prosze o rozwiązanie :)
P(x) = 3x³-2x²+x-4 Q(x) = 2x-5 W(x) = x²-4 1) P(x)+Q(x)-W(x) = 3x³-2x²+x-4+2x-5-(x²-4) = 3x³-2x²+x-4+2x-5-x²+4 = 3x³-3x²+3x-5 2) 2P(x)-3W(x) = 2(3x³-2x²+x-4)-3(x²-4) = 6x³-4x²+2x-8-3x²+12 = 6x³-7x²+2x+4 3) [Q(x)]²+1/2 W(x) = [2x-5]²+1/2(x²-4) = 4x²-20x+25+1/2x²-2 = 4 1/2x²-20x+23 4) P(x)×W(x)-Q(x) = (3x³-2x²+x-4)(x²-4)-(2x-5) = 3x⁵-12x³-2x⁴+8x²+x³-4x-4x²+16-2x+5 = 3x⁵-2x⁴-11x³+4x²-6x+21 5) [P(x)×Q(x)]-2[P(x)-Q(x)] = [(3x³-2x²+x-4)(2x-5)]-2[3x³-2x²+x-4-(2x-5)] = 6x⁴-15x³-4x³+10x²+2x²-5x-8x+20-2(3x³-2x²+x-4-2x+5) = 6x⁴-15x³-4x³+10x²+2x²-5x-8x+20-6x³+4x²-2x+8+4x-10 = 6x⁴-25x³16x²-11x+18