Synthetic Division Practice Test

Use synthetic division to divide $$P(x)=x^4-2x^3+0x^2+5x-6$$ by $$(x+1)=(x-(-1)).$$ Set up with $c=-1$ and coefficients $1,-2,0,5,-6$ (include the $0$). Read the quotient from the bottom row and the remainder as the last number (which equals $P(-1)$). Which result is correct?

A student says synthetic division is more efficient than long division when the divisor is of the form $(x-c)$. Use synthetic division to divide $$P(x)=x^3-2x^2-5x+6$$ by $$(x-3).$$ Set up with $c=3$ and coefficients $1,-2,-5,6$. What are the quotient and remainder (remainder equals $P(3)$)?