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

Answer 1

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

Answer 2

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.