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- 10 Find a such that $ax^{17}+bx^{16}+1$ is divisible by $x^2-x-1$.
- 5 Find the polynomial equation of the lowest degree with rational coefficients whose one root is.......?
- 5 If $\alpha$, $\beta$, $\gamma$ and $\delta$ be the roots of the polynomial $x^4+px^3+qx^2+rx+s$, prove the following.
- 5 If $\alpha, \beta,\gamma$ be the roots of $2x^3+x^2+x+1=0$, show that..........?
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