Question

Phân tích đa thức thành nhân tử:

a.6x³-11x²-x-2

b.3x⁴+2x³-8x²-2x+5

c.4x³+5x²+5x+1

d.x¹²+4

e.x⁷+x⁵+1

g.x⁵+x-1

Answer 1

a: \(=6x^3-12x^2+x^2-2x+x-2\)

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

b: \(=3x^4+3x^3-x^3-x^2-7x^2-7x+5x+5\)

\(=\left(x+1\right)\left(3x^3-x^2-7x+5\right)\)

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

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

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

c: \(=4x^3+x^2+4x^2+x+4x+1\)

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