Question

Determine a,b,c que tornam identicamente nulo o polinomio p (x) = (a + 7) x4 -(b2 + 4) x2 - C

Answer 1

p (x) = (a + 7) x4 -(b2 + 4) x2 - C

(a + 7) x4 -(b2 + 4) x2 - C = 0

a + 7 = 0 ==> a = - 7

-(b^2 + 4) = 0(-1) ==> b^2 + 4 = 0 ==> b^2 = - 4 ==> b = +/-V-4 

C = 0