Question

dados os polinomios A= x²-2x+2; B= 3x²+4x-5 e C= 4x-1, determine
a) A+B+C
b) A-B-C
c) C-2A

Answer 1

a) A+B+C=x²-2x+2+3x²+4x-5+4x-1=4x²+6x-4
b) A-B-C=x²-2x+2-3x²-4x+5-4x+1=-3x²-10x+8
c) C-2A=4x-1-2*(x²-2x+2)=4x-1-2x²+4x-4=-2x²+8x-5

Answer 2

$a = x^{2} - 2x + 2\\ b = 3x^{2} + 4x -5\\ c = 4x-1\\\\ a+b+c = (x^{2} - 2x + 2) + (3x^{2} + 4x -5) + (4x-1)\\ a+b+c = 4x^{2} + 6x - 4\\\\ a-b-c = (x^{2} - 2x + 2) - (3x^{2} + 4x -5) - (4x-1)\\ a-b-c = -2 x^{2} -10x + 8\\\\ c-2a = (4x-1)-2*(x^{2} - 2x + 2)\\ c-2a= (4x-1) - 2x^{2} + 4x - 4\\ c-2a = -2 x^{2}+8x - 5$