Posted by **ladybug** on Saturday, December 22, 2012 at 9:07pm.

find all zeros of the following polynomial. write the polynomial in factored form.

f(x)=x^3-3x^2+16x-48

- calculus -
**drwls**, Sunday, December 23, 2012 at 3:13am
Try + and - the prime factors of 48:

1, 2, 3, 4, 6, 8, 12 and 16.

When you find one that works, call it 'a' and divide the f(x) polymonial by (x-a) to get the quadratic factor. The other two roots can easily be found with that.

It looks to me like one root is +3. Therefore x-3 is a factor.

Now evaluate [x^3-3x^2+16x-48]/(x-3)

It should give you a quadratic equation with no remainder. Factor that.

## Answer this Question

## Related Questions

- calculus-can someone please help me with this ques - Find all zeros of the ...
- calculus - can someone please help me find all the zeros of the following ...
- Pre-Calculus - Find all rational zeros of the polynomial, and write the ...
- College Algebra - Find all zeros of the following polynomial. Write th ...
- calculus--please help!! - find the complete zeros of the polynomial function. ...
- pre-calculus - find the complex zeros of the polynomial function. write F in the...
- algebra - Find the complex zeros of the polynomial function. Write f in factored...
- Pre-Cal. - find all the zeros of the following polynomial. Write the polynomial ...
- college algebra - find the complex zeros of the polynomial function. write f in ...
- calculus - find the complex zeros of the polynomial function. write f in ...