cookieeater1234
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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.
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: