lenniestreet10
05.05.2020 •
Mathematics
Is x^5 - 5x^4 + 4x^3 - 3x^2 + 2x + 1 a polynomial
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Ответ:
yes
Step-by-step explanation:
Polynomial Long Division :
4.3 Polynomial Long Division
Dividing : x5-5x4+10x3-10x2+5x-1
("Dividend")
By : x-1 ("Divisor")
dividend x5 - 5x4 + 10x3 - 10x2 + 5x - 1
- divisor * x4 x5 - x4
remainder - 4x4 + 10x3 - 10x2 + 5x - 1
- divisor * -4x3 - 4x4 + 4x3
remainder 6x3 - 10x2 + 5x - 1
- divisor * 6x2 6x3 - 6x2
remainder - 4x2 + 5x - 1
- divisor * -4x1 - 4x2 + 4x
remainder x - 1
- divisor * x0 x - 1
remainder 0
Quotient : x4-4x3+6x2-4x+1 Remainder: 0
Ответ: