Question

divida o polinômio 4x³ +12x² - 2x – 6 por 2x² - 1 e determine o valor numérico do resultado para x =1/3

Answer 1

(4x³ +12x² - 2x – 6)/(2x² - 1) = (2x/-1)+(6/-1)-(1/-1)-(3x⁻²/-1) = -2x+(-6)-(-1)-(-3x⁻²) = -2x-6+1+3x⁻² = 3x⁻²-2x-5

Para x =1/3:
3.(1/3)⁻²-2.(1/3)-5 = 3.(1/0,111)-(2/3)-5 = (3/0,111)-(2/3)-5 = (3/0,111)-(-3/15) = (3/0,111)+(1/5)