Question

find a cubic polynomial whose ceros are -2,-3,-1​

Answer 1

Answer: Zeroes are α, β and Gamma.

α + β + Gamma = -2 -3 -1 = -b/a = -6/1

αβ + β(Gamma) + α(Gamma) = -2(-3) + -3(-1) + -2(-1) = 6 + 3 + 2 = c/a = 11/1

αβ(Gamma) = -2(-3)(-1) = -6 = -d/a

If a= 1, b = 6, c = 11 and d = 6.

The polynomial p(x) = x^3 + 6x^2 + 11x +6 = 0

Step-by-step explanation: