SOLUTION: If P(x)is a third 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 here is an examples of polynomials that su

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If P(x)is a third 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 here is an examples of polynomials that su      Log On


   

Question 129592: If P(x)is a third 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 here is an examples of polynomials that support this. thank you
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
Here goes the examples.

Let P(x) be a third degree polynomial as per the data given by you.

So P(x) = x%5E3+%2B+x%5E2+-+x+%2B+1

and Q(x) be a fourth degree polynomial.


Q(x) = 3x%5E4+-+2x%5E3+%2B+9x%5E2+-+8x+%2B+15


So the addition of these would result in the following


Adding like terms we get:

P(x) + Q(x) = +3x%5E4+-+x%5E3+%2B+10x%5E2+-+9x+%2B+16


thus the degree of the resulting polynomial would be equal to 4

Thus the solution


Regards