Suppose that a polynomial function of degree 5 with rational coefficients has 2, √3, and 5+2i as zeros. Find the other zeros.

Question

anonymous · Answer

one is 5-2i

anonymous · Answer

hint : irrational roots occur in conjugate pairs

anonymous · Answer

if $a+\sqrt{b}$ is a zero, then $a-\sqrt{b}$ will also be a zero

anonymous · Answer

so what does it mean @sara12345

anonymous · Answer

you're given a irrational root right ?

anonymous · Answer

since $\sqrt{3}$ is a zero, $-\sqrt{3}$ will also be a zero

anonymous · Answer

so how many zeroes did you get so far ?

anonymous · Answer

i really don't know...teacher just taught the lesson today...

anonymous · Answer

its okay,
im asking how many zeroes *we* got so far :)

anonymous · Answer

in the question we're already given 3 zeroes : $2, \sqrt{3} , 5+2i$
we found one more zero : $-\sqrt{3}$

anonymous · Answer

so total, 4 zeroes we have so far

anonymous · Answer

since its a 5 degree polynomial, there will be one more zero which we need to find okj

anonymous · Answer

alright thanks

anonymous · Answer

np :)  you found the 5th zero also ?

anonymous · Answer

oh 5-2i

anonymous · Answer

Yes ! 5 degree polynomial will have 5 zeroes. so we're done :)

anonymous · Answer

thanks

anonymous · Answer

np :)