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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`
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Solution
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`
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