"12X^3-4X^2-9X+4"如何因式分解?_数学解答

"12X^3-4X^2-9X+4"如何因式分解?

人气：483 ℃　时间：2020-04-16 13:43:12

解答

=8X^3+4X^3-4X^2-9X+4
=8X^3-1+4X^3-4X^2-9X+5
=(2X-1)(4X^2+2X+1)+2X^2(2X-1)-2X^2-9X+5
=(2X-1)(4X^2+2X+1)+2X^2(2X-1)-(2X-1)(X+5)
=(2X-1)(6X^2+X-4)