Question

Verify that 1/2,1 and -2 are the zeros of the cuble polynomial p(x) = +-5r+2 and
then verfy the relationship between the zeros and its coefficient.​

Answer 1

Answer:

Q: Verify that 32 ar 37+2. Also 1-2 are zerve polynomial 2p approx020 verify the relationship b/w the and their coefficients.

Ans : alpha= 1 2 1 a t^ beta 0 beta = 1 b = alpha + beta + y = (- b)/a 1/2 + 1 + - 2 y = - 2 C = - 5 , d = 2 = -1 2 1 2 +(-1) =- 1 2 - 1/2 = - 1/2 alpha*beta + beta*y + eta*alpha = c/a 1/2 * 1 + 1 * - 2 + (- 2) * 1/2 = - 5/2 1/2 - 2 - 1 = - 5/2 1/2 / (3/1) 2 * (1 + 3)/2 * (1 - 6)/2 = - 5/2 alpha*beta * y = (- d)/a 1/2 * 1 * - 2 = - 2/2 - 1 - 5/2 = - 5/2 - 1 = - 1