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f(x)=x³+3x²+1
x=-1
f(-1)=-1³+3(-1)²+1
=-1+3+1
=3
f(x)=x³+3x²+1
x=1/2
f(1/2)=(1/2)³+3(1/2)²+1
=1/8+3(1/4)+1
=1/8+3/4+1
=1/8+6/8+8/8
=15/8
f(x)=x³+3x²+1
f=x
remainder is 1
f(x)=x³+3x²+1
f=-180
f(-180)=(-180)³+3(-180)²+1
=-5832000+3(32400)+1
=-5832000+97200+1
=-5734799
f(x)=x³+3x²+1
f=-5/2
f(-5/2)=(-5/2)³+3(-5/2)²+1
=-125/8+3(25/4)+1
=-125/8+75/4+1
=-125/8+150/8+8/8
=26/8
=13/4
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