Question

Phân tích đa thức thành nhân tử :

a) 4x⁸ + 1

b) x⁴ + 3x - 6x² - 8x

Answer 1

\(a,4x^8+1\)

\(\left(2x^4\right)^2+2.2x^4.1+1-4x^4\)

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

\(\left(2x^4+1+2x^2\right).\left(2x^4+1+2x^2\right)\)

Answer 2

b: \(=x^4-6x^2-5x\)

\(=x\left(x^3-6x-5\right)\)

\(=x\left(x^3-x-5x-5\right)\)

\(=x\left[x\left(x-1\right)\left(x+1\right)-5\left(x+1\right)\right]\)

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