Another Polynomial Question (1 Viewer)

Doctor Jolly

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Solve the equation 6x^4 - 29x^3 + 40x^2 - 7x - 12 = 0, the product of two of the roots being 2.

answer: 4/3, 3/2, 1 + √2

Solve the equation 8x^4 - 2x^3 - 27x^2 + 6x + 9 = 0, given that the sum of two of its roots is zero

answer: + √3, 3/4, -0.5

Source: Questions 17 & 20 of Chapter 27 3U Fitzpatrick (page 173)

Thanks.
 

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