find all the zeros of the polynomial 2 x cube + x square - 6 x minus 3 if two of its zeros are minus root 3 and root 3
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Step-by-step explanation:2x³+x²-6x-3
let p(x)=2x³+x²-6x-3
2 zeros of the polynomial are√3 and -√3. ∴ let x=√3 and x=-√3
= (x-√3)(x+√3)
= (x²-3)
on dividing p(x) by x²-3 we get, quotient as 2x-1.
taking 2x-1=0
x=1\2
∴ remaining 2 zeros of the polynomial p(x) are 1\2 and -1\2.
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