Question

If 2 and 3 are the zeroes of a polynomial 3x4-12x2+8 then find all the other zeroes

Answer 1

2 and 3 are zero of given polynomial so (x-2) and (x-3) are factors of given polynomial Now (x-2)×(x-3) =x^2-2x-3x+6=x^2-5x+6 Now (3x^4+12x^2+8)÷(x^2-5x+6) We get quotient And reminder will be the zero Now factor of get quotient and equal to zero You will get yr ans