Posted by **jay** on Friday, October 14, 2011 at 3:30am.

write a polynomial function of least degree that has real coefficeints the given zeros and a leading coefficient of 1. the problem is 5,2i,-2i

- algebra 2 -
**Jai**, Friday, October 14, 2011 at 7:28am
*i think you mean the ZEROS / ROOTS are 5, 2i and -2i.

if so, you can get them by multiplying and expanding,

(x-5)(x-2i)(x+2i)

note that 1 = sqrt(-1)

but an easier method would be, to start with the roots 2i and -2i. recall that q quadratic equation follows the formula,

x^2 - (sum of roots)*x + (product of roots)

thus, substituting 2i and -2i:

x^2 - (2i - 2i)*x + (2i)*(-2i)

x^2 - (0)*x - 4*(i^2)

x^2 - 4*(-1)

x^2 + 4

now, we multiply this by (x-5):

(x-5)(x^2 + 4)

x^3 - 5x^2 + 4x - 20

hope this helps~ :)

## Answer this Question

## Related Questions

- pre-ap Algebra 2 - write a polynomial function f of least degree that has the ...
- Algebra II - write a fourth degree polynomial function a leading coefficient o 1...
- poloynomial function - Write a polynomial function f of least degree that has ...
- Form a polynomial f(x) from coefficient and it's 0 - Form a polynomial, f(x), ...
- algerba 2 - write the polynomial function of least degree that has real ...
- math - Find a polynomial f(x) with leading coefficient 1 and having the given ...
- algebra - Find a polynomial function of least degree with real coefficients ...
- Algebra - Write a polynomial of least degree with real coefficients and with the...
- Algebra - Can someone please explain how to do these problems. 1)write a ...
- Math - 1. Identify the degree, leading term and leading coefficient of each ...

More Related Questions