Functions

[numberconfused]

Find all the zeroes in these two problems

a. f(x)=2x^(4)+x^(3)-35x^(2)-113x+65

b. f(x)=x^(5)+5x^(4)+17x^(3)+49x^(2)+72x+36

Can anyone help with these? I'm not sure how to find the zeroes so I'd really appreciate it. Thank you all in advance.

 

[mmm4444bot]

Find all the zeroes in these two problems

a. f(x)=2x^(4)+x^(3)-35x^(2)-113x+65

b. f(x)=x^(5)+5x^(4)+17x^(3)+49x^(2)+72x+36

Can anyone help with these? I'm not sure how to find the zeroes so I'd really appreciate it. Thank you all in advance.

Have you studied the Rational Roots Theorem and how it is used to find Rational zeros?

Do you know how to write a factor of the polynomial, using a root that you have discovered?

Do you understand polynomial division (synthetic division is a shortcut) and how to use it with above factor to find more factors of polynomials?

There are many lessons and examples on the Internet (including videos) covering the process of finding all of the roots in your two exercises.

What class are you taking, and what is your class doing?

Cheers :cool:

PS: Please read THIS PAGE before posting again.

 

[Bob Brown MSEE]

Hints

a) What are f(0.5), and f(5)?
b) What are f(-1), and f(-2)?