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Zeroes of a Polynomial

How many zero...

Question

How many zeros does the polynomial ${a x}^{3} + {b x}^{2} + c x + d$ have ?

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Solution

Three zeroes as its a polynomial with degree 3.

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α, β, γ

are zeros of the polynomial

a x^{3} + b x^{2} + c x + d

α β γ =

Two of the zeroes of the cubic polynomial $a x^{3} + b x^{2} + c x + d$ is 0, find the third zero.

Q. If two zeroes of a cubic polynomial

a x^{3} + b x^{2} + c x + d

are each equal to zero , then the third zero is

α, β, γ

are the zeroes of a cubic polynomial

a x^{3} + b x^{2} + c x + d

, then the product of zeroes is

Q. If two of the zeros of the cubic polynomial ax³ + bx² + cx + d is 0, then the third zeros is

(a)

\frac{- b}{a}

\frac{b}{a}

\frac{c}{a}

\frac{- d}{a}

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