(−5k ² + K³ + 8k + 4) ÷ (k−1) synthetic Division​

(−5k ² + k³ + 8k + 4) ÷ (k−1) synthetic division​

Answer:

x²-4x+4 r.8

Step-by-step explanation:

  • first thing to do is to arrange the polynomial to descending form/powers: k³-5k²+8k+4
  • then tranpose the value of the divisor, so that will be k=1
  • to perform the synthetic division, you must check first if the polynomial is on its descending form.
  • next, always tranpose the value of the divisor.
  • lastly, perform synthetic division

1| 1 -5 8 4

1 -4 4

1 -4 4 8

we can now express the given polynomial and the answer will be: x²-4x+4 r.8

*we know that (r.) means remainder*

(−5k ² + K³ + 8k + 4) ÷ (k−1) synthetic Division​

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