Question

Phân tích đa thức sau thành phân tử;

\(e,x^6-x^4+2x^3+2x^2\)

\(f,x^2-7x+12\)

Answer 1

e ) \(x^6-x^4+2x^3+2x^2\)

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

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

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

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

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

f ) \(x^2-7x+12\)

\(=x^2-4x-3x+12\)

\(=x\left(x-4\right)-3\left(x-4\right)\)

\(=\left(x-3\right)\left(x-4\right)\)