If (1+ax+bx2)4=a0+a1x+a2x2+…+a8x8; a, b, a0, a1…a8ϵR and are such – InterviewSolution

1.	If (1+ax+bx2)4=a0+a1x+a2x2+…+a8x8; a, b, a0, a1…a8ϵR and are such that a0+a1+a2≠0 and ∣∣∣∣a0a1a2a1a2a0a2a0a1∣∣∣∣=0, then
Answer» If $(1 + a x + b x^{2})^{4} = a_{0} + a_{1} x + a_{2} x^{2} + \dots + a_{8} x^{8}; a, b, a_{0}, a_{1} \dots a_{8} ϵ R$ and are such that $a_{0} + a_{1} + a_{2} \neq 0$ and $∣ ∣∣ ∣ \begin{matrix} a_{0} & a_{1} & a_{2} a_{1} & a_{2} & a_{0} a_{2} & a_{0} & a_{1} \end{matrix} ∣ ∣∣ ∣ = 0$ , then

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