Let a,b,c be the roots of the equation px3+qx2+rx+s=0. If ∣∣∣∣ – InterviewSolution

1.	Let a,b,c be the roots of the equation px3+qx2+rx+s=0. If ∣∣∣∣∣−bcb2+bcc2+bca2+ac−acc2+aca2+abb2+ab−ab∣∣∣∣∣=27, a+b+c≥0 and a2+b2+c2=3, then the value of 3p+q is
Answer» Let $a, b, c$ be the roots of the equation $p x^{3} + q x^{2} + r x + s = 0$ . If $∣ ∣∣∣ ∣ \begin{matrix} - b c & b^{2} + b c & c^{2} + b c a^{2} + a c & - a c & c^{2} + a c a^{2} + a b & b^{2} + a b & - a b \end{matrix} ∣ ∣∣∣ ∣ = 27, a + b + c \geq 0$ and $a^{2} + b^{2} + c^{2} = 3,$ then the value of $3 p + q$ is

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