Question

A polynomial function P(x) with rational coefficients has the given roots. Find two additional roots of P(x)=0 #7. 2+3i and√7

Answer 1

the conjugate of each number

Answer 2

How would you write that with √7 and 3i ?

Answer 3

the conjugate of \(a+bi\) is \(a-bi\) and so the conjugate of \(2+3i\) is \(2-3i\)

Answer 4

the conjugate of \(\sqrt7\) is just \(-\sqrt7\)

Answer 5

do you actually have to find the polynomial?

Answer 6

Is that the final answer? Sorry, this is a new lesson and my teacher can't teach for jack

Answer 7

the answer to "find two additional roots" is \(2-3i,-\sqrt7\)

Answer 8

Its just asking me to find the additional roots.

Answer 9

the answer to "find the polynomial" is a different matter

Answer 10

ok then you are done

Answer 11

What about something like this... 3-2√2 and 1 + √3

Answer 12

same as before \(3+2\sqrt3\) and \(1-\sqrt3\)

Answer 13

Thank you so much! :)

Answer 14

yw