Question

A polynomial function P(x) with rational coefficients has the given roots. Find two additional roots of P(x)=0.

i and 7 + 8i


a) -1,1

b) -i, 7-8i

c)-1, 56i

d) no additional roots are possible



Also if anyone has the answers to the practice and the quick check i'm super behind and I need help ASAP!!

Answer 1

B

Explanation:

Answer 2

Explanation:

If a polynomial function P(x) with rational coefficients has a root z. the so is the complex conjugate of z is a root. (In order to see that, take the complex conjugates of the equation P(x)=0, and note that complex conjugates of rational numbers equal to itself.)

Therefore the complex conjugates of the given roots i and 7+8i , are -i and 7-8i is the required answer.