Question

Let f(x) be a fifth-degree polynomial, and g(x) also a fifth-degree polynomial. The degree of f(x) + g(x) must also equal 5.
I SAY FALSE? because it dosent have to equal 5 right?

Answer 1

No, it'd be 5 only
I'll explain you with an example

Answer 2

OK.

Answer 3

Let
\[f(x)= x^5+4x+6\]
and
\[g(x)=4x^5+4x^4+3x^3+1\]
so
\[f(x)+g(x)=5x^5+4x^4+3x^3+4x+7\]
We can see that f(x)+g(x) also has order 5

Answer 4

@ParthKohli am i distributing right?