Question

find all zeroes of polynomial 2x⁴-5x³-12x²+11x-2 if two of its zeroes are 2+ root 3 and 2- root 3.

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Answer 1

-2 ,  ,  and .

Step-by-step explanation:

Dividend =  

Since we are given that  two of it's zeroes are  and  

So,  

Using identity  

Now

Divisor =  

Since we know that :

Quotient =  

Factorize the quotient

Hence all the zeros of the polynomial  is -2 ,  ,  and .