One of the zeros of the polynomial function is 5 f(x)= x^4 − 4x^3 − 21x^2+ 100x − 100

What is the factored form of the function?

A. f(x)= (x−5) (x+5) (x−2) (x+2)
B. f(x)= (x−2)^2 (x−5)^2
C. f(x)= (x−2) (x+2) (x−5)^2
D. f(x)= (x−5) (x+5) (x−2)^2

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Elizabeth is using a sample to study american alligators. she plots the lengths of their tails against their total lengths to find the relationship between the two attributes. which point is an outlier in this data set?

Plot the intercepts to graph the equation