因式分解:2x^4-5x^3+x^2+5x-3
问题描述:
因式分解:2x^4-5x^3+x^2+5x-3
答
原式=(2x^4+x²-3)-(5x³-5x)
=(x²-1)(2x²+3)-5x(x²-1)
=(x²-1)(2x²+3-5x)
=(x+1)(x-1)²(2x-3)