\(=2x^4+6x^3-3x^3-9x^2-3x^2-9x+2x+6\)
\(=2x^3\left(x+3\right)-3x^2\left(x+3\right)-3x\left(x+3\right)+2\left(x+3\right)\)
\(=\left(x+3\right)\left(2x^3-4x^2+x^2-2x-x+2\right)=\left(x+3\right)\left(x-2\right)\left(2x^2+x-1\right)\)
\(=\left(x+3\right)\left(x-2\right)\left(2x^2+2x-x-1\right)=\left(x+3\right)\left(x-2\right)\left(x+1\right)\left(2x-1\right)\)
2x^4+3x^3-12x^2-7x+6 = (2x^4-x^3)+(4x^3-2x^2)-(10x^2-5x)-(12x-6)
= x^3.(2x-1)+2x^2.(2x-1)-5x.(2x-1)-6.(2x-1) = (2x-1).(x^3+2x^2-5x-6)
= (2x-1).[ (x^3+x^2)+(x^2+x)-(6x+6) ] = (2x-1).(x+1).(x^2+x-6) = (2x-1).(x-1).[(x^2-2x)+(3x-6)]
= (2x-1).(x+1).(x-2).(x+3)
k mk nha
\(2x^4+3x^3-12x^2-7x+6\)
\(=\left(2x^4+2x^3\right)+\left(x^3+x^2\right)-\left(13x^2+13x\right)+\left(6x+6\right)\)
\(=\left(x+1\right)\left(2x^3+x^2-13x+6\right)\)
2x4+3x3-12x2-7x+6
=2x4+2x3+x3+x2-13x2-13x+6x+6
=2x3(x+1)+x2(x+1)-13x(x+1)+6(x+1)
=(x+1)(2x3+x2-13x+6)
=(x+1)[2x3-2x2+3x2-6x-7x+14-8]
=(x+1)[2x2(x-2)+3x(x-2)-7(x-2)]
=(x+1)[(x-2)(2x2+3x-7)]
=(x+1)(x-2)(2x2+3x-7)
