分解因式:x的4次方+3x3-3x2-12x-4

问题描述:

分解因式:x的4次方+3x3-3x2-12x-4

x的4次方+3x3-3x2-12x-4
=(x4次方-3x²-4)+(3x³-12x)
=(x²+1)(x²-4)+3x(x²-4)
=(x²-4)(x²+1+3x)
=(x+2)(x-2)(x²+3x+1)