SOLUTION: factor the polynomial x^3-4x^2+x-4 Hint: use "i" to enter the factors containing square toors of negative numbers. For example, if your factor is (x+square root of -4) you shoul

Algebra ->  Equations -> SOLUTION: factor the polynomial x^3-4x^2+x-4 Hint: use "i" to enter the factors containing square toors of negative numbers. For example, if your factor is (x+square root of -4) you shoul      Log On


   

Question 331340: factor the polynomial x^3-4x^2+x-4
Hint: use "i" to enter the factors containing square toors of negative numbers. For example, if your factor is (x+square root of -4) you should write (x+2i)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the Rational Roots Theorem to determine that the possible rational roots of the equation are:



Use Synthetic Division to exclude



And to show that



is a factor of the given polynomial. If you need a refresher on Synthetic Division, see: Purple Math Synthetic Division

The quotient from the synthetic division was



Which, as we know, factors to:

and


John

My calculator said it, I believe it, that settles it