Question

Can someone check my work please :)

Answer 1

Two athletes, Jack and Jill, invite you invite you to participate in a 5K run with several hills. One hill can be represented by the function f(x) = 2x2 + 5. Another hill can be represented by the function g(x) = 2x2 - 3x + 4. Describe to Jack and Jill, using complete sentences, which operation results in the largest degree function and which operation results in the smallest degree function. Show your work to justify your reasoning

Answer 2

Multiplication of course will result in largest degree as shown below:
f(x) * g(x)
= (2x^2 + 5)(2x^2 - 3x + 4)
= 4x^4 - 6x^3 + 8x^2 + 10x^2 - 15x + 20
= 4x^4 - 6x^3 + 18x^2 - 15x + 20

The division results in lowest degree as follow:
(2x^2 + 5)(2x^2 - 3x + 4)
= 1 + (3x + 1)/(2x^2 - 3x + 4), where:
Quotient = 1 , Reminder = 3x + 1

Answer 3

Morgan did u not provide ur self the answer in ur 2nd commment?

Answer 4

Yes, i did but I wanted to know if I was right

Answer 5

yes its right :D