Question

Considerando os polinômios A = -5x³ + 3x² – 2x + 5, B = -2x³ – 4x² – x + 5 e C = -2x³ + 4x² + 8x - 20. Calcule A + B + C.

Answer 1

Explicação passo-a-passo:

$a + b + c = ( - 5x {}^{3} + 3x {}^{2} - 2x + 5) + ( - 2x {}^{3} - 4x {}^{2} - x + 5) + ( - 2x {}^{3} + 4x {}^{2} + 8x - 20) = \\ a + b + c = - 5x {}^{3} + 3x {}^{2} - 2x + 5 - 2x {}^{3} - 4x {}^{2} - x + 5 - 2x {}^{3} + 4x {}^{2} + 8x - 20 = \\ a + b + c = - 5x {}^{3} - 2x {}^{3} - 2x {}^{3} + 3x {}^{2} - 4x {}^{2} + 4x {}^{2} - 2x - x + 8x + 5 + 5 - 20 = \\ a + b + c = - 9x {}^{3} + 3x {}^{2} + 5x - 10$