SOLUTION: Let f(x)be a polynomial function of degree 2 and g(x) be a polynomial of degree 3. what is the degree of (f*g)(x)?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Let f(x)be a polynomial function of degree 2 and g(x) be a polynomial of degree 3. what is the degree of (f*g)(x)?       Log On


   

Question 886653: Let f(x)be a polynomial function of degree 2 and g(x) be a polynomial of degree 3. what is the degree of (f*g)(x)?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Arrange a general example and find what happens.

Try f%28x%29=ax%5E2%2Bbx%2Bc and g%28x%29=dx%5E3%2Bex%5E2%2Bhx%2Bm, assuming a,b,c,d,e,h,m are any nonzero real numbers.

The highest term which will occur when you find f(x)*g(x) will be adx%5E5. All of the other terms will be of degree less than 5. Try doing the multiplications and simplify.

Degree 5.