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

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) (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

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