Question

sum of zeros of cubic polynomial​

Answer 1

To find:

The sum of zeros of a cubic polynomial

Step-by-step explanation:

Let us consider a cubic polynomial as follows

$\quad f(x)=ax^{3}+bx^{2}+cx+d$

where $a,b,c,d$ are constants with $a\neq 0$

If $\alpha,\beta,\gamma$ be zeros of $f(x)$, then

$\quad \alpha+\beta+\gamma=-\dfrac{b}{a}$

Answer:

Required sum of the zeros is $-\dfrac{b}{a}$

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