1) The polynomial P(x) = x²+4x³+x²-6x+2 has roots; a, 6, 7, 8. Given the condition that aß = -1: (i) Show that yd = -2. (ii) By considering the sum of the roots show that y+8 = −4-(a+ß). (iii) By considering the sum of the roots three at a time show that 7+8=-6-2(a +ß). (iv) Hence or otherwise determine the roots of P(x)=·¡+√₂, -1-√₂¸- MI

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