Question

Given that one of the zeroes of the cubic polynomial ax³ + bx² + cx + d is zero, the product of the other two zeroes is ______.

Options

• `- c/a`

• `c/a`

• 0

• `- b/a`

Answer 1

Given that one of the zeroes of the cubic polynomial ax³ + bx² + cx + d is zero, the product of the other two zeroes is `underlinebb(c/a)`.

Explanation:

According to the question,

We have the polynomial,

ax³ + bx² + cx + d

We know that,

Sum of product of roots of a cubic equation is given by `c/a`

It is given that one root = 0

Now, let the other roots be α, β

So, we get,

αβ + β(0) + (0)α = `c/a`

αβ = `c/a`

Hence the product of other two roots is `c/a`