Posted by **Piggy** on Friday, April 5, 2013 at 12:23am.

write a fourth degree polynomial function a leading coefficient o 1 given three of its zeros are -1, 3 and 2i, then re-write it in simplified form.

- Algebra II -
**Reiny**, Friday, April 5, 2013 at 1:30am
The key concept here is that imaginary numbers always appear as conjugates

so if 2i is a zero, so is -2a

so we would have x = ±2i

x^2 = 4i^2

x^2 = -4

so x^2 + 4 is a factor

the polynomial is

f(x) = (x+1)(x-3)(x^2 + 4)

I will leave it up to you to expand it, but I would consider the factored form more simplified than the expanded form.

## Answer This Question

## Related Questions

- pre-ap Algebra 2 - write a polynomial function f of least degree that has the ...
- math - Find a polynomial f(x) with leading coefficient 1 and having the given ...
- algebra 2 - write a polynomial function of least degree that has real ...
- Math - Write a polynomial function in standard form that has the given zeros and...
- poloynomial function - Write a polynomial function f of least degree that has ...
- algebra 2 - Write a polynomial function that has the zeros 2, -2, and -1 and has...
- algebra - write a fourth degree polynomial function with real coefficients that ...
- Algebra - Write a polynomial of least degree with real coefficients and with the...
- Form a polynomial f(x) from coefficient and it's 0 - Form a polynomial, f(x), ...
- Math - 1. Identify the degree, leading term and leading coefficient of each ...

More Related Questions