+76 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
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+532 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
