dividing polynoials --------VERY URGENT

Question

1. (x^4 + x^2 - 2x + 6 ) / x^2 - 2x +2 (151b)<--- no need to care about this one

2. (X^4 +4X^2 +16) / (X^2-2X+4) (152a)<-----no need to care this

3. (x^3+8) / (x+2) (152a)

4. (2x^4-18x^2+3x-4) / (x^3 - 3x^2 -2 ) (153a)

5. (x^4 - y^4) / (x-y) (152b)

Answer 1

最愛解答

1. (x^4 + x^2 - 2x + 6 ) / x^2 - 2x +2

= x^2 + 2x +3

用長除法

-------------------------------------------------------

2. (x^4 +4x^2 +16) / (x^2-2x+4)

= (x^2+2x+4)

用長除法

-------------------------------------------------------

3. (x^3+8) / (x+2)

= (x+2) (x^2 - 2x + 4) / (x+2)

= (x^2 - 2x + 4)

-------------------------------------------------------

4. (2x^4-18x^2+3x-4) / (x^3 - 3x^2 -2 )

= (2x+6) 餘 (7x+8)

用長除法

-------------------------------------------------------

5. (x^4 - y^4) / (x-y)

= (x^2 - y^2) (x^2 + y^2)/ (x-y)

= (x - y) (x + y) (x^2 + y^2)/ (x-y)

= (x + y) (x^2 + y^2)