Question

[Nguyền Hoàng Minh]

Thực hiện phép chia:

1. (-3x³ + 5x² - 9x + 15) : ( 3x + 5)

2. ( 5x⁴ + 9x³ - 2x² - 4x - 8) : ( x-1)

3. ( 5x³ + 14x² + 12x + 8 ) :  (x + 2)

4. ( x⁴ -   2x³ + 2x -1 ) : ( x² - 1)

5. ( 5x²  - 3x³ + 15 - 9x ) : ( 5 - 3x)

6. ( -x² + 6x³ - 26x + 21) : (  3 -2x )

Answer 1

[Nguyễn Lê Phước Thịnh]

1: Sửa đề: 3x-5

\(=\dfrac{-x^2\left(3x-5\right)-3\left(3x-5\right)}{3x-5}=-x^2-3\)

2: \(=\dfrac{5x^4-5x^3+14x^3-14x^2+12x^2-12x+8x-8}{x-1}\)

=5x^2+14x^2+12x+8

3: \(=\dfrac{5x^3+10x^2+4x^2+8x+4x+8}{x+2}=5x^2+4x+4\)

4: \(=\dfrac{\left(x^2-1\right)\left(x^2+1\right)-2x\left(x^2-1\right)}{x^2-1}=x^2+1-2x\)

5: \(=\dfrac{x^2\left(5-3x\right)+3\left(5-3x\right)}{5-3x}=x^2+3\)