Question

Phân tích đa thức thành nhân tử

x⁴ + 2x² - 24

x³ - 2x - 4

Answer 1

      \(x^4+2x^2-24\)

\(=x^4+6x^2-4x^2-24\)

\(=x^2\left(x^2+6\right)-4\left(x^2+6\right)\)

\(=\left(x^2+6\right)\left(x^2-4\right)\)

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

       \(x^3-2x-4\)

\(=x^3-2x^2+2x^2-4x+2x-4\)

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

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

Chúc bạn học tốt.

Answer 2

\(\left(x^2\right)^2+2x^2-24\)

Answer 3

a) x⁴ + 2x² - 24

= x⁴ - 4x² + 6x² - 24

= x².(x²-4) + 6.(x²-4)

= (x²-4).(x² +6)

= (x+2).(x-2).(x² +6)