已知:3x^4+x³-4x²-17x+5除以x²+x+1的商式为ax²+bx+c

3x^4+x³-4x²-17x+5
=3x^4+3x³-2x³+3x²-7x²-17x+5
=3x^4+3x³+3x²-2x³-7x²-17x+5
=3x²(x²+x+1)-2x³-2x²-5x²-2x-15+5
=3x²(x²+x+1)-2x³-2x²-2x-5x²-15x+5
=3x²(x²+x+1)-2x(x²+x+1)-5x²-15x+5
=3x²(x²+x+1)-2x(x²+x+1)-5x²-5x-10x-5+10
=3x²(x²+x+1)-2x(x²+x+1)-5x²-5x-5-10x+10
=3x²(x²+x+1)-2x(x²+x+1)-5(x²+x+1)-10x+10
=(3x²-2x-5)(x²+x+1)-10x+10
a=3
b=-2
c=-5
d=-10
e=10
（a+b+c）^(d+e)
=(3-2-5)^(-10+10)
=(-4)^0
=1