SOLUTION: If P(x) is a fifth degree polynomial and Q(x) is a fourth degree polynomial, what can be said about the degree of P(x) - Q(x)? What I need is an example of this. Thank you

Algebra.Com
Question 129593: If P(x) is a fifth degree polynomial and Q(x) is a fourth degree polynomial, what can be said about the degree of P(x) - Q(x)? What I need is an example of this. Thank you
Answer by ilana(307)   (Show Source): You can put this solution on YOUR website!
Here's an example:
P(x)=x^5+x^4+x+2
Q(x)=x^4+1
P(x)-Q(x)=x^5+1
Can you tell from this what the degree of P(x)-Q(x) will always be?

RELATED QUESTIONS

If P(x)is a third degree polynomial and Q(x) is a fourth degree polynomial what can be... (answered by chitra)
Let P and Q be polynomials such that P(x) and Q(P(Q(x))) have the same roots. If the... (answered by drk)
let Q(x) be a polynomial function of degree 1. it's product with a polynomial of degree n (answered by solver91311)
Let f(x)be a polynomial function of degree 2 and g(x) be a polynomial of degree 3. what... (answered by josgarithmetic)
If p=2x^2-4x and q=x-3, what is the degree of (p*g)(x)? (answered by Boreal)
if p(x) is of degree 4, Q(x) is of degree 3 and r(x)is of degree 2, find the degree of:... (answered by stanbon)
suppose P(x)=(x-3)^4 and Q(x) is a cubic function. then the degree of the quotient of... (answered by solver91311)
find a polynomial of the specified degree: degree 4, zeros:-5,0,5,7... (answered by Edwin McCravy)
What will these functions look like: 1. The function p is a fourth-degree polynomial... (answered by ewatrrr)