Question 1127904
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One of the zeros of the polynomial function is 5. 
+f%28x%29+=+x%5E4+-+4x%5E3+-+21x%5E2+%2B+100x+-+100+ 
What is the factored form of the function? 
The equation is in the link here: https://prnt.sc/lduhcc 
Is my answer correct?
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<pre>
5    |    1    -4    -21    100    -100
     |
     |          5      5    -80     100
     |_______________________________________
          1     1     -16    20      0



2    |    1    1    -16    20
     |         2     6    -26
     ______________________________
         1     3    -13     -6


-2   |   1   1   -16   20
     |      -2     2   28
     |________________________
         1  -1    -14  48


5    |      1     1     -16    20
     |
     |            5     30
     |_________________________________
            1     6     14     nonzero


2    |    1    1    -16    20
     |         2       6   -20
     |______________________________
          1    3     -10    0

        {{{x^2+3x-10=(x-2)(x+5)}}}
</pre>
Complete Factorization for f(x) is
{{{(x-2)(x-2)(x+5)(x-5)}}}
OR
{{{(x+5)(x-5)(x-2)^2}}}