Question

If root5/3 and -5/3 are two zeros of the polynomial 3xrise to 4 +6xcube-2xsqaure_10x-5

Answer 1

Answer: -1,-1

Step-by-step explanation:

Since, √5/3 and -√5/3 are two zeroes of p(x),

∴ (x-√5/3) and (x+√5/3) are the factors of p(x)

⇒(x-√5/3)(x+√5/3)=x²-5/3

   Dividing p(x) by x²-5/3 ( Remainder will always be zero in such questions)

          (3x∧4+6x³-2x²-10x-5)/(x²-5/3)

                  = 3x²+6x+3

        Now find the roots of above equation,

                           x= -b±√b²-4ac/2a

                               =-1,-1

      Please let me know if you need complete calculations...

                                                          hope this helps!!!