Use synthetic division to divide. $\left( x ^ { 3 } - 27 x + 54 \right) \div ( x - 3 )$
A) $x ^ { 2 } + 3 x - 18$
B) $x ^ { 2 } - 3 x - 27$
C) $x ^ { 2 } + 9 x + 18$
D) $x ^ { 2 } + 9 x - 6$
E) $x ^ { 2 } + 6 x + 9$

Question

Use synthetic division to divide. $\left( x ^ { 3 } - 27 x + 54 \right) \div ( x - 3 )$
A)​ $x ^ { 2 } + 3 x - 18$
B)​ $x ^ { 2 } - 3 x - 27$
C)​ $x ^ { 2 } + 9 x + 18$
D)​ $x ^ { 2 } + 9 x - 6$
E)​ $x ^ { 2 } + 6 x + 9$

Quizplus · Accepted Answer

Using synthetic division with $x = 3$, the coefficients of $x^3, x^2, x$, and the constant term are $1, 0, -27, 54$. The division gives $1, 3, -18$ as the new coefficients, resulting in $x^2 + 3x - 18$.

Use Synthetic Division to Divide (x3−27x+54)÷(x−3)\left( x ^ { 3 } - 27 x + 54 \right) \div ( x - 3 )(x3−27x+54)÷(x−3)

Use Synthetic Division to Divide $\left( x ^ { 3 } - 27 x + 54 \right) \div ( x - 3 )$