1)Let and . What is the coefficient of in the sum ?

2)Let and . Let be a constant. What is the largest possible degree of ?

3)Let and . Let be a constant. What is the smallest possible degree of the polynomial ?

4)Let and . What is the degree of ?

5)Find if the expansion of the product of and has no term.

thanks :D

Android4EVER Mar 23, 2019

#1**+1 **

Hey Android4EVER,

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Guest Mar 23, 2019

#2**+1 **

1)

All we have to do is add the coefficients of the x^3 terms, or 1 + 5 = 6.

2)

Because a is a constant, the largest possible must be 4, as a cannot change the degree.

3)

We want to have the smallest possible degree, so we should cancel terms. So, we set b = -1/2 and the degree of the sum is 1.

4)

To find the degree of the porduct, we just add the degrees of the functions. So, our answer is 4 + 4 = 8.

5)

We can find which terms multiply to get something with x^2 in it. We get 28 + 2t - 5 = 0, or 23 + 2t = 0 => t = -11.5.

Hoping this helped,

asdf334

asdf335 Mar 23, 2019