Question

find All the zeroes of the polynomial x2+x3-34x2-4x+120.if two of its zeroes are 2&-2​

Answer 1

Answer:

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Answer 2

x^4+x^3-34x^2-4x+120=0

given two roots of polynomial 2&-2

in a polynomial the sum of roots=-b/a

let the third root be p and fourth root be q

so

p+2-2+q=-1

=》》p+q=-1---eq(1)

product of roots =-d/a

so

p×q×2×-2=-120

=》》pq=-30---eq(2)

solving eq(1)&eq(2)

p=5 and q=-6

all the roots of the equation are 2,-2,5,-6

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