Question

多项式3x²-kx+4被3x-1除后余3,那么k的值是

Answer 1

设3x²-kx+4=（3x-1)(x+a)+3=3x²+3ax-x-a+3=3x²+(3a-1)x+(3-a)

∴3-a=4 a=-1

3a-1=-k=-4

k=4