SOLUTION: factor f(x) into linear factors given that k is a zero of f(x) f(x)= x^4+3x^3-30x^2-124x-120;k=-2 (multiplicity 2)

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Question 1113975: factor f(x) into linear factors given that k is a zero of f(x)
f(x)= x^4+3x^3-30x^2-124x-120;k=-2 (multiplicity 2)
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
-2   |   1   3   -30   -124   -120
     |       -2  -2    64      120
     |-------------------------------
        1   1    -32   -60     0


Next, break into factors for .
You know there is another root of -2 because given was "multiplicity 2".

Synthetic division on the above dividend will give quotient and the two previous factors were and .

Factorization of is easily done:



Entire factorization is then .
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