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8. If the product of two zeroes of the polynomial 3x3 +5x2-7x-27 be 3 then find the third zero.e 3

Answer»

p(x) = 3x³ + 5x² – 7x - 27

Define α,β and γLet α,β and γ be the 3 rootsαβ = 3 (Given)

Find the products of all the zeros:αβγ = - d/aαβγ = - (-27)/3 = 27/3 = 9

Find the third zeros:Given αβ = 33γ = 9γ = 9 ÷3γ = 3

Answer: The third zero is 3



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