Question

phân tích đa thức thành nhân tử:x^4+5x^2-6

Answer 1

\(x^4+5x^2-6\)

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

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

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

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

Answer 2

\(x^4+5x^2-6\)

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

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

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

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