Synthetic Division 一問

2011-03-08 7:43 am
How to use synthetic division if there is a quadratic divisor?

Q1 Find the quotient and remainder of (2x^(2)+3x^(3)-1+2x) / (x^(2)+2-x)

quotient = 3x+5 and remainder = x-11 (by long division)

Q2 Find the quotient and remainder of (2x^(2)-3+4x+5x^(3)) / (x+x^(2)-1)

quotient = 5x-3 and remainder = 12x-6 (by long division)

Please teach me the steps, thx!

回答 (1)

2011-03-08 9:32 am
✔ 最佳答案
1)(3x³ + 2x² + 2x - 1) / (x² - x + 2)
1-2 | 3 2 2 -1
............. 3 -6
..................5 -10
______________
........ 3 5 , 1 -11
Quotient = 3x + 5
Remainder = x - 11


2)(5x³ + 2x² + 4x - 3) / (x² + x - 1)
-1+1 | 5 2 4 -3
............. .-5 +5
.................. ..3 .-3
_______________
..........5 -3.,12. -6
Quotient = 5x - 3
Remainder = 12x - 6


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