Divide using long division.
-$$\left( x ^ { 2 } - 3 x - 18 \right) \div ( x - 6 )$$
A) $x + 3$
B) $x - 3$
C) $x ^ { 2 } + 3$
D) $x ^ { 2 } - 3$ )x

Question

Quizplus · Accepted Answer

When dividing $x^2 - 3x - 18$ by $x - 6$, the first step is to divide $x^2$ by $x$, which gives $x$. Multiplying $x$ by $x - 6$ gives $x^2 - 6x$. Subtracting this from the original polynomial gives $3x - 18$. Dividing $3x$ by $x$ gives $+3$, and multiplying $3$ by $x - 6$ gives $3x - 18$, which subtracts to 0. Thus, the quotient is $x + 3$.

Divide Using Long Division (x2−3x−18)÷(x−6)\left( x ^ { 2 } - 3 x - 18 \right) \div ( x - 6 )(x2−3x−18)÷(x−6)

Divide Using Long Division $\left( x ^ { 2 } - 3 x - 18 \right) \div ( x - 6 )$