So m = 20 1 1? +20 1 1? ×20 12? +20 12? =x? +x? ×y? +y?
=x? +x? y? +y?
=(x? -2xy+y? )+(x? y? +2xy+ 1)- 1
=(x-y)? +(xy+ 1)? - 1
=(20 1 1-20 12)? +(xy+ 1)? - 1
= 1- 1+(20 1 1×20 12+ 1)?
=(20 1 1×20 12+ 1)?
∴m is a complete square.
(1) shows that this polynomial can be divisible by (x-2); (x-2) can be equal to 0; That is, x can be equal to 2.
(2)M is a multiple of the algebraic expression (x-k), and x can be equal to k.
Answer finished, hope to adopt, thank you.