find the zeros of the polynomial x cube minus 5 x square - 16 X + 80 if two zeroes are equal in magnitude but opposite in sign
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x^3-5x^2-16x+8
factorising
x^2(x-5)-16(x-5)
(x^2-16)(x-5)
(x-4)(x+4)(x-5)
according to factor theorem
the factors of a cubic polynomial will be in the form (x-a)(x-b)(x-c)
where a,b and c are the zeros of the polynomial
hence here zeros of the polynomial are x=4,-4,5(answer)
Hope I have helped u!
factorising
x^2(x-5)-16(x-5)
(x^2-16)(x-5)
(x-4)(x+4)(x-5)
according to factor theorem
the factors of a cubic polynomial will be in the form (x-a)(x-b)(x-c)
where a,b and c are the zeros of the polynomial
hence here zeros of the polynomial are x=4,-4,5(answer)
Hope I have helped u!
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