SOLUTION: Ok...I'm terrible at the whole finding zeros...if you could give some tips that would be LOVED! Here's the question:
find all real zeroes of the polynomial function
f(x)=x^3 +
Algebra ->
Rational-functions
-> SOLUTION: Ok...I'm terrible at the whole finding zeros...if you could give some tips that would be LOVED! Here's the question:
find all real zeroes of the polynomial function
f(x)=x^3 +
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Question 186303: Ok...I'm terrible at the whole finding zeros...if you could give some tips that would be LOVED! Here's the question:
find all real zeroes of the polynomial function
f(x)=x^3 + 9x^2 - 4x - 36
and determine the multiplicity of each
Some help is greatly appreciated! Thanks!!! Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! find all real zeroes of the polynomial function
f(x)= x^3 + 9x^2 - 4x - 36
:
You can factor out by grouping and factoring out common terms
x^2(x + 9) - 4(x + 9)
:
Factor out (x+9) and you have
(x + 9)(x^2 - 4)
;
Note the (x^2 - 4) is the difference of squares and can be factored to:
(x + 9) (x - 2)(x + 2)
:
the zeros
x = -9
x = +2
x = -2
:
"determine the multiplicity of each" I'm not sure what this means.
Perhaps they want you to multiply the 3 factors and ensure you come up with
the original equation.
