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If two of the roots of …

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If two of the roots of f (x) = x^3-5x^2 - 16x +80 are equal in magnitude but opposite in sign then find all the. Zeroes 

  • 1 answers

Joshina Learnel 6 years, 9 months ago

let the zeroes be a , -a , b

then (x-a),(x+a),(x-b) are the factors of f(x)

therefore f(x)=(x-a)(x+a)(x-b)=x3-bx2-a2x+a2b

therefore x3-5x2-16x+80=x3-bx2-a2x+a2b

equating the coefficients we get a=+or-4 and b=5

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