Question

Can the sum of two polygons in x, both of degree 4, be of degree 3? If so give an example.

Answer 1

@Mertsj

Answer 2

@Hero @ganeshie8

Answer 3

Yes !

Answer 4

example??

Answer 5

Let \[P(x)=x^4+3x^3+5x^2-1\text{ and } Q(x)=-x^4+2x^2+17\]
We have :
\[\deg P=\deg Q=4\]
But :
\[\deg(P+Q)=3\]

Answer 6

thanks!!

Answer 7

so can i use that as my example do you mind?

Answer 8

Yes

Answer 9

you mind?