• YOU can help the next generation of students in the community!
    Share your trial papers and notes on our Notes & Resources page

Polynomials question-Cambridge (1 Viewer)

C

cookieeater1234

New Member
Joined
Feb 4, 2011
Messages
3
Gender
Undisclosed
HSC
N/A
EDIT: Just found the solutions a few posts below me so ...

This is from Cambridge 4 unit:

Show that if the polynomials P<sub>1</sub>(z)=b<sub>n</sub>z<sup>n</sup> + b<sub>n-1</sub>z<sup>n-1</sup> + … + b<sub>0</sub> and P<sub>2</sub>(z)=c<sub>n</sub>z<sup>n</sup> + … + c<sub>0</sub> are equal for more than n values of z, then b<sub>n</sub> = c<sub>n</sub>, ... , b<sub>0</sub> = c<sub>0</sub>.

I've tried looking at the solution but that didn't help at all.

Thanks.

P. S. couldn't fully replicate the polynomial equations due to formatting.
 
Last edited:
K

khorne

Guest
OE, your solution is poor.
Consider them P(z) and Q(z)

Now consider P(z) - Q(z) as a polynomial which has more than n zeros. But the degree of P - Q is obviously less than or equal to n. So the only posibility is if P(z) - Q(z) = 0

Then you get what OE did...but without the actual important stuff :p
 
You must log in or register to reply here.

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top