Two Olympic swimmers, Ryan and Michael, create unique ripple waves in the water. The function created by Ryan is f(x) = 4x2 + 7. The function created by Michael is f(x) = 4x2 - 5x + 3. Describe to Ryan and Michael, using complete sentences, which of the operations, addition, subtraction, multiplication, and division, will result in the largest degree function, and which operation will result in the smallest degree function.

Question

Two Olympic swimmers, Ryan and Michael, create unique ripple waves in the water. The function created by Ryan is f(x) = 4x2  + 7. The function created by Michael is f(x) = 4x2  - 5x + 3. Describe to Ryan and Michael, using complete sentences, which of the operations, addition, subtraction, multiplication, and division, will result in the largest degree function, and which operation will result in the smallest degree function.

anonymous · Answer

I just need to be explained how to do it

campbell_st · Answer

the degree is the highest power of the function 

f(x) = x^3 is degree 3

so the highest degree possible from two degree 2 polynomials is 

degree 4 when multiplying

degree 2 when adding or subtracting

degree 0 when dividing

anonymous · Answer

So the highest one would be degree 4 and the lowest would be 0 is that what you're saying?

campbell_st · Answer

yes

anonymous · Answer

Okay, thank you! Do you mind helping me with one more question? I really need a good grade and I promise to try and understand as best I can!

campbell_st · Answer

sorry.... just post it and there are lots of people who can help.