For f(x)= x^4+25x^2 + 144 answer the following questions.

a) How many zeros will f(x) have?

b) Find all the zeros of f(x).

c) Factor f(x).

d) What are the x intercepts of f(x)?

USE A GRAPHING CALCULATOR TO CHECK YOUR ANSWERS

Question

For f(x)= x^4+25x^2 + 144 answer the following questions.
 
a) How many zeros will f(x) have?
 
b) Find all the zeros of f(x).
 
c) Factor f(x).
 
d) What are the x intercepts of f(x)?
 
USE A GRAPHING CALCULATOR TO CHECK YOUR ANSWERS

anonymous · Answer

If it says to use a graphing calculator to check your answers, maybe you should use a graphic calculator?

phi · Answer

the highest exponent is 4,  so you will have 4 zeros

you could find them  by letting y= x^2     (so y^2 = x^4).
sub into the original equation to get
x^4+25x^2 + 144 =0
y^2  + 25y + 144 =0

solve for y using the quadratic formula

then solve for x using  $ x= \pm \sqrt{y} $
on both solutions for y.