SOLUTION: 1)write a polynomial in standard forum.. with the degree 3, zeros @ -1,3,5 and the condition F(0)=5? i know my zeros= (x+1)(x-3)(x-5) how do solve and write in standard form

Click here to see ALL problems on Polynomials-and-rational-expressions

Question 242843: 1)write a polynomial in standard forum.. with the degree 3, zeros @ -1,3,5 and the condition F(0)=5?
i know my zeros= (x+1)(x-3)(x-5)
how do solve and write in standard form
2) find the 6 zeros (real and imaginary) of : F(x)=X^6-64
Found 2 solutions by nyc_function, MRperkins:
Answer by nyc_function(2741) (Show Source):
You can put this solution on YOUR website!

Patrick,
After working out the question a second time,
I also got f(x) = x^3 - 7x^2 + 7x + 15. This polynomial is the correct answer.
Sorry about the typo.

Answer by MRperkins(300) (Show Source):
You can put this solution on YOUR website!
1. Since you know your zeros, you are have the hardest part done. Now you use FOIL and distributions to write in standard form. Standard form is simply writing a polynomial in the descending power form. For example, would be written as
I get the final answer to be
If you need help in getting this, then email me at justin.sheppard.tech@hotmail.com and I will send you a pdf file of the problem worked out (send me what needs to be multiplied in the email as a reminder).
2.
This problem is a little more extensive. Use the rules for the difference of 2 perfect squares (use (x^3)^2), then the rule for the difference of perfect cubes and the sum of perfect cubes. Finally use the quadratic formula to find the imaginary zeros.
I get -2,2,,
If you want this worked out on paper with explanations, then I will do that, scan it and email it to you. Just send me an email to justin.sheppard.tech@hotmail.com and I will get back to you with 24 hours.