Question -
Answer -
Solution:
Let us consider the cubic polynomial is ax3+bx2+cx+dand the values of the zeroes of the polynomials be α, β, γ.
As per the given question,
α+β+γ = -b/a
= 2/1
αβ +βγ+γα = c/a
= -7/1
α βγ = -d/a
= -14/1
Thus, from above three expressions we get thevalues of coefficient of polynomial.
a = 1, b = -2, c = -7, d = 14
Hence, the cubic polynomial is x3-2x2-7x+14