Posted by **william** on Monday, January 14, 2008 at 12:14pm.

how do you factor the polynomial 3x^4-4x^3+4x^2-4x+1?

i got (x-1)(3x-1)(3x^2+3)

but the answer is (x-1)(3x-1)(x+i)(x-i)

- math -
**Reiny**, Monday, January 14, 2008 at 1:08pm
You should have realized your answer was wrong by looking at the constants of your three factors.

Multiplying them would have given you a last term of +3 instead of the needed +1.

You were close, actually you are off by only a constant factor of 3

Look at your last factor of (3x^2+3)

=3(x^2+1)

=3(x+i)(x-i)

Compare that with the actual answer given.

Looks like you just made an arthmetic error somewhere in your division.

- math -
**Count Iblis**, Monday, January 14, 2008 at 1:10pm
3x^2+3 = 3 x(x^2 + 1) = 3(x+i)(x-i)

You only got an overall factor of 3 wrong.

- math -
**william**, Monday, January 14, 2008 at 1:21pm
where does the "3" go then?

3x^2+3 = 3 x(x^2 + 1) =

"3"(x+i)(x-i)

because the answer is:

(x-1)(3x-1)(x+i)(x-i)

## Answer This Question

## Related Questions

- algebra--1 question - Suppose you divide a polynomial by a binomial. How do you ...
- Math - Part 1: Suppose you divide a polynomial by a binomial. How do you know if...
- Math - Part 1: Suppose you divide a polynomial by a binomial. How do you know if...
- Algebra Question~! - Suppose you divide a polynomial by a binomial. How do you ...
- Calculus - f(x)= x/(1+x)^2 a) find the intervals on which f is increasing or ...
- math - Factor the expression. x2 + 6x + 48 a) (x + 1)(x + 48) b) (x + 6)^2 c) (x...
- Algebra - I have a few more questions that I either need help with or just need ...
- polynomials - i also have theses to solve Factor the polynomial x2 + 5x + 6 ...
- Math - Factor the polynomial X^3 + 7x^2 +15x + 9 I tried factoring by grouping. ...
- Math - The function f(x) = x^2 -2x + x^1/2 is: A. A polynomial because it is ...

More Related Questions