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)?

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) (Show Source): You can put this solution on YOUR website!
Arrange a general example and find what happens.

Try and , 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 . All of the other terms will be of degree less than 5. Try doing the multiplications and simplify.

Degree 5.
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