Question

Here’s the question. Just let me know when u get the answer

Answer 1

The zeroes of the polynomial is given as,

`0\text{ , 4 and }\sqrt[]{3}`

The polynomials with the given zeroes is calculated as,

`\begin{gathered} P\mleft(x\mright)=(x-0)(x+4)(x-\sqrt[]{3})(x+\sqrt[]{3}) \\ P(x)=(x^2-3)(x^2\text{ + 4x )} \end{gathered}`

Thus the required polynomial is,

`P(x)=x^4+4x^3-3x^2-12x^{}`