# calculus

posted by .

Find the complex zeros of the polynomial function. Write f in factored form.

f(x)=3x^4-10x^3-12x^2+122x-39

Please show wrok, I do not understand how to do this.

• calculus -

The 39 and 3 tempt me to try roots like 1,3,1/3. Go for the low-hanging fruit first

use synthetic division to find that

f(-3)=0, so
f(x) = (x+3)(3x^3-19x^2+45x-13)
f(1/3) = 0, so
f(x) = (x+3)(3x-1)(x^2-6x+13)
there are no more real roots

## Similar Questions

1. ### college algebra

find the complex zeros of the polynomial function. write f in factored form. use complex zeros to write f in factored form f(x)= x^3-6x^2+21x-26
2. ### pre-calculus

find the complex zeros of the polynomial function. write F in the factored form. f(X)=x^3-7x^2+20x-24 use the complex zeros to write f in factored form. f(x)= (reduce fractions and simplify roots)
3. ### college algebra

find the complex zeros of the polynomial function. write f in factored form. f(x)=x^3-10x^2+37x-52
4. ### college algebra

find the complete zeros of the polynomial function. write f in factored form. f(x)=x^3-7x^2+25x-39 please show all work. I do not understand this.
5. ### calculus

find the complex zeros of the polynomial function. write f in factored form. f(x)=x^3-10x^2+42x-72 please show work.

find the complete zeros of the polynomial function. Write f in factored form. f(x)=3x^4-10x^3-12x^2+122x-39 **Use the complex zeros to write f in factored form.** f(x)= Please show work
7. ### Find the complex zeros

Find the complex zeros of the polynomial function. Write f in the factored form. f(x)=x^3-3x^2+7x-5 f(x)=
8. ### algebra

Find the complex zeros of the polynomial function. Write f in factored form. F(x)=x^3-8x^2+29x-52 Use the complex zeros to write f in factored form F(x)=____(reduce fractions and simplify roots)
9. ### math

Find the complex zeros of the polynomial function, and write f in factored form: f(x)= x^3 - 8x^2 + 30x - 36
10. ### Algebra

Find the complex zeros of the following polynomial function. Write f in the factored form. F(x)=2x^4-5x^3-20x^2+115x-52

More Similar Questions