Consider the equation 9z³-18z²+5z-10=0. Given that z-2 is a factor of the equation, determine the other two factors:
I first performed polynomial long division in order to determine the product of the 2 unknown factors. I then used the quadratic formula to determine the values of Z which produced zero, hence were roots. But, the solutions I produced does not fit the coefficient of 9 in the z³ term, instead if my factors were used the z³ term would have a coefficient of 1. Do I have to use a theorem like the conjugate root theorem, any hints appreciated.
I first performed polynomial long division in order to determine the product of the 2 unknown factors. I then used the quadratic formula to determine the values of Z which produced zero, hence were roots. But, the solutions I produced does not fit the coefficient of 9 in the z³ term, instead if my factors were used the z³ term would have a coefficient of 1. Do I have to use a theorem like the conjugate root theorem, any hints appreciated.