Question

9.
Find other zeroes of the polynomial
p(x) = 3x4 - 4x3 - 10x2 + 8x + 8,​

Answer 1

Answer:

I think the question is wrong

Answer 2

The zeroes of the polynomial are 2,√2,-√2,-2/3

• By putting 2 in the above equation we get 0, so (X-2) is one of the factor of the polynomial.
• Hence the polynomial can be written as (X-2)(3X³+2X²-6X-4), after factorizing it.
• The second factor can be further factorized into (3X+2)(X²-2) by taking X² common from the first two terms and 2 from the later terms

As the zeros of the factors are -2/3,√2,-√2

Hence they are also zeros of the polynomial.