I really need help with this question (1 Viewer)

[SB257426]

Suppose that P(x)=x^5+x^2+1 and Q(x)=x2−2. If r1, r2, r3, r4 and r5 are the five zeroes of P(x), find the value of Q(r1)×Q(r2)×Q(r3)×Q(r4)×Q(r5)

 

[jimmysmith560]

There is the following explanation for this question, although I am not entirely sure whether it aligns closely with Mathematics Extension 1 (perhaps someone could confirm this). Regardless, here it is:




I hope this helps!

 

[jks22]

Suppose that P(x)=x^5+x^2+1 and Q(x)=x2−2. If r1, r2, r3, r4 and r5 are the five zeroes of P(x), find the value of Q(r1)×Q(r2)×Q(r3)×Q(r4)×Q(r5)

I don't think that's in the scope of MX1... the maximum number of roots questions could go up to should be four (but could someone confirm also)

 

[SB257426]

There is the following explanation for this question, although I am not entirely sure whether it aligns closely with Mathematics Extension 1 (perhaps someone could confirm this). Regardless, here it is:

View attachment 35982
View attachment 35983

I hope this helps!

Thanks a lot for the help man, I really appreciate it !!!

Your solution makes a lot of sense and is exactly what my math teacher did when he reviewed the question. Thanks once again !!!

 

[eKimu]

Hi I used the hint given in the worked solutions above but I took a slightly different route. Hope this helps someone!