Need help with these 3 problems Give an example of two diffe

Give an example of two different polynomials with zeros: 3, 9, 4i Factor p(x) = x^4 - 41x^2 + 180 into linear factors given that -6 and 6 are real zeros. What is the minimum value of y if y = 2x^2 -x - 100?

Solution

Solution:

5) Solution:

Given that zeros (roots) of polynimal function are 3,9 and 4i

Before letting any example we know that these roots are nothing

but solution of equation and there roots (zeros) must be there in our examples

thus example 1 P(x) = (x-3) (x-9) (x²+16)

example 2 Q(x) = (x-3) (x-9) (x²+16) (x-1)

6) and 7) solutions: Go to the following links

https://drive.google.com/open?id=0B-d8gT-z__CNdEVqQmtaLW84Mjg

https://drive.google.com/open?id=0B-d8gT-z__CNN3daNVI0YXdJNkk