SOLUTION: find the zeros of f(x) and state the multiplicity of each zero. 1. f(x)=x^4+7x^2-144

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: find the zeros of f(x) and state the multiplicity of each zero. 1. f(x)=x^4+7x^2-144      Log On


   

Question 258453: find the zeros of f(x) and state the multiplicity of each zero.
1. f(x)=x^4+7x^2-144
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can factor the equation.
x%5E4%2B7x%5E2-144=%28x%5E2%2B16%29%28x%5E2-9%29
Real zeros:
x%5E2-9=0
x%5E2=9
x=0+%2B-+3
x=3 and x=-3 with multiplicity of 1.
.
.
.
Complex zeros:
x%5E2%2B16=0
x%5E2=-16
x=0+%2B-+4i
x=4i and x=-4i with multiplicity of 1.
.
.
.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-50%2C+50%2Cx%5E4%2B7x%5E2-144%29+