Question

23. If two of the zeros of the cubic polynomial ax® + bx² + cx + d are 0, then the third zero is
option (a) b/a
option (b)c/a
option (c)minus d/a
option (d)minus b/a​

Answer 1

Answer:

The answer to this question is option (d)

Step-by-step explanation:

Let, the roots of the given equation be α, β and γ

Now it is given that , α = β = 0

Since, sum of the roots of a cubic equation is $-\frac{\text{Coefficient of }x^2}{\text{Coefficient of }x^3}$

∴ α+β+γ = $-\frac{b}{a}$

or, γ = $-\frac{b}{a}$             ( ∵ α = β = 0 )