A polynomial functiion P (x) with rational coefficients has the given roots. find two additional roots of p (x) = 0

2i and √ 10

If - 2i is a root, then 2i is also a root. If √10 is a root, then - √10 is also a root. Convert all four of these roots into factors using the factor theorem (which says that if R is a root, then (x - R) is a factor). (x + 2i) (x - 2i) (x - √10) (x + √10) Multiply these factors together. (It's easiest to multiply the conjugate pairs together first.) : x^4 - 6x^2 - 40