Question

a) x³ - 3x² - x + 3

b) x³ - 4x² - x + 4

c) 2x³ - x² - 2x + 1

d) 5x³ - x² - 5x + 1

Answer 1

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

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

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

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

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

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

d) \(5x^3-x^2-5x+1=\left(5x^3-5x\right)-\left(x^2-1\right)=5x\left(x^2-1\right)-\left(x^2-1\right)\)

\(=\left(5x-1\right)\left(x^2-1\right)\)

 

Answer 2

phân tích đa thức thành nhân tử nha mn