- #1
furtivefelon
- 30
- 0
hi, i have three math factor proves i can't figure out:
1. Show that x-y is a factor of x^n-y^n
Through empircal testing, i figured out the other factor must be x^(n-1) + x^(n-2)y + x^(n-3)y^2 + ... + y^(n-1), though i can't come up with a prove for it..
2. Prove that (x+a) is a factor of (x+a)^5 + (x+c)^5 + (a-c)^5
3. prove that (x-a) is a factor of x^3 - (a+b+c)x^2 + (ab+bc+ca)x - abc
the last two i have no idea where to begin.. Can someone please help me? thanks :D
1. Show that x-y is a factor of x^n-y^n
Through empircal testing, i figured out the other factor must be x^(n-1) + x^(n-2)y + x^(n-3)y^2 + ... + y^(n-1), though i can't come up with a prove for it..
2. Prove that (x+a) is a factor of (x+a)^5 + (x+c)^5 + (a-c)^5
3. prove that (x-a) is a factor of x^3 - (a+b+c)x^2 + (ab+bc+ca)x - abc
the last two i have no idea where to begin.. Can someone please help me? thanks :D