Question

find all the zeros of 3x⁴-15x³+17x²+5x-6 if two zeros are2and3 answer with explantation​

Answer 1

Answer:

well here it is given that 2 and 3 are zeros of the equation so (x-2) and (x-3) will be the factors of the given equation.

multiply (x-2) and (x-3) to form a quadratic equation, i.e. (x^2 - 5x + 6)

now divide the given equation by long term division method.

so we will get a quotient as (3x^2 - 1)

now divide the quotient by 3 to make x^2 free.

we will get (x^2 - 1/3) now you can apply the formula (a^2 - b^2), thus we will get (x - 1/√3) and (x + 1/√3) so the remaining zeroes of the equation will be (-1/√3) & (1/√3) .

Hope you got this.