Question

phân tích đa thức C(x)=6x^3-17x^2+14x-3

Answer 1

\(C\left(x\right)=6x^3-17x^2+14x-3\)

\(=6x^3-6x^2-11x^2+11x+3x-3\)

\(=6x^2\left(x-1\right)-12x\left(x-1\right)+3\left(x-1\right)\)

\(=\left(6x^2-12x+3\right)\left(x-1\right)\)

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

Answer 2

\(C\left(x\right)=6x^3-17x^2+14x-3=6x^3-11x^2+3x-6x^2+11x-3\)

\(=x\left(6x^2-11x+3\right)-\left(6x^2-11x+3\right)=\left(x-1\right)\left(6x^2-11x+3\right)\)

\(=\left(x-1\right)\left(6x^2-2x-9x+3\right)=\left(x-1\right)\left(2x\left(3x-1\right)-3\left(3x-1\right)\right)\)

\(=\left(x-1\right)\left(2x-3\right)\left(3x-1\right)\)