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?

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?

ash2326 · Answer

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

anonymous · Answer

OK.

ash2326 · Answer

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

anonymous · Answer

|dw:1338391398765:dw| @ParthKohli  am i distributing right?