Question

find a cubic polynomial whose three zeros are 0,4 and-4​

Answer 1

Answer:

$x^{3}-16x+16$

Step-by-step explanation:

We know that, if α,β and γ are the roots of the equation,

then,

the equation of that cubic polynomial is

x^3 - x^2(α+β+γ) + x(αβ+βγ+γα) -αβγ

So, here given that,

α=0, β=4, γ=-4

hence, equation is,

$x^{3} - x^{2} (0+4-4) + x(0*4+4*(-4) +0 *(-4)) -(0*4*(-4))$

=> $x^{3}-16x+16$

Hope it helps

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