Saturday

September 20, 2014

September 20, 2014

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

- Algebra II -
**Reiny**, Friday, April 5, 2013 at 1:30amThe 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 ...

Math - 1. Identify the degree, leading term and leading coefficient of each ...

Form a polynomial f(x) from coefficient and it's 0 - Form a polynomial, f(x), ...

pre cal - Write a polynomial function of minimum degree with real coefficients ...