Question

If one of the zeros of the cubic polynomial ax³ + bx² + cx + d is 0 then the product of the other two zeros is ______.

Options

• `(-c)/a`

• `c/a`

• 0

• `(-b)/a`

Answer 1

If one of the zeros of the cubic polynomial ax³ + bx² + cx + d is 0 then the product of the other two zeros is `underlinebb(c/a)`.

Explanation:

Let α, β, 0 be the zeros of ax³ + bx² + cx + d.

Then, sum of the products of zeros, taken two at a time is given by

`(αβ + β xx 0 + α xx 0) = c/a`

⇒ `αβ = c/a`

∴ The product of the other two zeros is `c/a`.