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divide x⁴+3x³+3x²+x+1 by x+1. and find it's factors by p(x) = g(x) × q(x) + r(x). where p(x) is the dividend g(x) is the divisor q(x) is the quotient and r(x) is the remainder​

Sagot :

Answer:

  • p(x) = x⁴+3x³+3x²+x+1
  • g(x) = x+1
  • q(x) = x³+2x²+x
  • r(x) = 1

x⁴+3x³+3x²+x+1 = (x+1)(x³+2x²+x) + 1

Step-by-step explanation:

To divide x⁴+3x³+3x²+x+1 by x+1, there are 2 common methods:

  1. Long division
  2. Synthetic division

Refer to the 1st picture for the long division method and the 2nd picture for the synthetic division method.

View image Karmenchong
View image Karmenchong
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