SOLUTION: 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 interce

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 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 interce      Log On


   

Question 959082: 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)?
Found 2 solutions by Fombitz, lwsshak3:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) 4, same as the degree of the polynomial.
b,c) x%5E4%2B25x%5E2+%2B+144+=%28x%5E2%2B9%29%28x%5E2%2B16%29=0
x%5E2%2B9=0
x=0+%2B-+3i
and
x%5E2%2B16=0
x=0+%2B-+4i
d) Since the zeros are all complex, there are no x intercepts. The curve never crosses the x-axis.
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.
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graph%28300%2C300%2C-2%2C2%2C-20%2C180%2Cx%5E4%2B25x%5E2+%2B+144+%29

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
For f(x)= x^4+25x^2 + 144 answer the following questions.
a) How many zeros will f(x) have? none, f(x)≠0
b) Find all the zeros of f(x)
c) Factor f(x). (not factorable)
d) What are the x intercepts of f(x)?(none)