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Levart [38]
3 years ago
11

Is x+3 a factor of x^4-2x^3-15x^2-14x-12

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0
Use synthetic division here, if you know it.  Use -3 as divisor and use the coefficients 1  -2  -15  -14  -12.  If there is no remainder, then x+3 is a factor of the given polynomial.

      _____________________
-3  /  1   -2   -15   -14   -12
             -3     15      0    42
      ---------------------------------
         1   -5      0    -14    30

There's a non-zero remainder:  30.  This means that the polynomial has the value 30 when x = -3, and that (x+3) is NOT a factor of the poly.
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