Question

Làm tính chia :

             \(\left(2x^4+x^3-3x^2+5x-2\right):\left(x^2-x+1\right)\)

Answer 1

Ta có:\(\left(2x^4+x^3-3x^2+5x-2\right):\left(x^2-x+1\right)\)

= \(\left(2x^4-2x^3+2x^2+3x^3-3x^2+3x-2x^2+2x-2\right):\left(x^2-x+1\right)\)

=\(\left(\left(2x^4-2x^3+2x^2\right):\left(x^2-x+1\right)\right)\)+\(\left(\left(3x^3-3x^2+3x\right):\left(x^2-x+1\right)\right)\)+\(\left(\left(-2x^2+2x-2\right):\left(x^2-x+1\right)\right)\)

= \(2x^2.\left(x^2-x+1\right):\left(x^2-x+1\right)\)+\(3x.\left(x^2-x+1\right):\left(x^2-x+1\right)\)\(-2\left(x^2-x+1\right):\left(x^2-x+1\right)\)

= \(2x^2+3x-2\)

Answer 2