Synthetic Division Practice Test

To compare methods: long division works for any polynomial divisor, but synthetic division is faster when the divisor is $(x - c)$. Divide $$P(x)=x^3+x^2-5x+2$$ by $$(x-1)$$ using synthetic division (so $c=1$). Read the quotient coefficients and remainder from the bottom row (remainder $=P(1)$).

Use synthetic division (more efficient than long division for $(x-c)$) to divide $$P(x)=x^3-2x^2-5x+6$$ by $(x-3)$. Use $c=3$ and coefficients $1,-2,-5,6$. Read the quotient from the bottom row and the remainder from the last entry (equal to $P(3)$). Which is correct?