scrapqueen68 scrapqueen68
  • 24-07-2020
  • Mathematics
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Find the answer using remainder theorem p(x) = x 3 + 7x 2 + 11x + 5

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ricchad
ricchad ricchad
  • 26-07-2020

Answer:

Let's try (x+5) first. According to the Remainder Theorem, if (x+5) is a factor of the polynomial, the remainder is zero.  

when x+5=0, x=-5

use synthetic division:

-5 I  1    7    11     5

   I        -5    -10   -5

    ----------------------

       1    2     1      0

the remainder is 0, so (x+5) is a factor:

the result is (x+5)(x²+2x+1)

factor again: (x+5)(x+1)(x+1) is the final answer.

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