Question

Escreva na forma x3 – S1x 2 + S2x – P = 0 uma equação algébrica de grau 3 cujas as raízes são -1, 1 e 2

Answer 1

Resposta:

P(x)=ax³+bx²+cx+d =a*(x-x')*(x-x'')*(x-x''')

x3 – S1x 2 + S2x – P = 0   , observe  ==>a=1

P(x)=1*(x+1)*(x-1)*(x-2)

P(x)= (x²-1)*(x-2)

P(x)=x³-2x²-x+2

x3 – S1x 2 + S2x – P = x³-2x²-x+2=0

S1=2

S2=-1

P =-2