A counter example is
f(x)=5x^5+2x^3+3x
g(x)=-5x^5-x^4+x^2-4
Then f(x)+g(x) = -x^4+2x^3+x^2+3x-4 which is a polynomial of degree 4.
So the answer is no. Counter-example is given above.
To find a common denominator you have to find a number that both can be divided by in this case, 15. So both can be set to 15. However the numerators must also be changed. Since 15 divided by 5 is 3, the numerator 2 should be multiplied by 3 to get 6. Then since 15 can be divided by 3 to 5, you multiply 5 to the numerator 1 to get 5.
Then do
6/15 - 5/15 to get 1/15
Answer:
So sorry , but the pic isn't very seen well
