Question

Dados os polinômios A = 5x2 − 3x + 6, B = − 3x + 2 e C = x2 + 5x − 1. Calcule: a) A + B + C b) A + C – B c) B ∙ A d) B ∙ C e) A – (B + C )

Answer 1

Resposta:

$A+B+C =\\(5x2-3x+6) + (-3x+2) + (2x+5x-1)\\5x2-3x+6 -3x+2+2x+5x-1\\10x+5x+2x-3x-3x+6+2-1\\17x-6x+7\\11x+7$

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$A+C-B\\A+C=\\(5x2-3x+6)+(2x+5x-1)\\10x-3x+6+2x+5x-1\\15x+7\\A+C-B\\(15x+7)-(3x+2)\\15x+7-3x-2\\12x+5$

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$B.A=\\(-3x+2)(10x-3x+6)\\-30x^{2}+9x^{2}-18x+20x-6x+12\\-21x^{2}-4x+12$

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$B.C\\(-3x+2)(2x+5x-1)\\-6x^{2}-15x^{2}+3x+4x+10x-2\\-21x^{2} +17x -2$

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$A- (B+C)\\B+C=\\(-3x+2)+(2x+5x-1)\\-3x+2+2x+5x-1\\4x+1\\\\A-(B+C)\\(5x2-3x+6)-(4x+1)\\10x-3x+6-4x-1\\3x+5$

(: