Divide.
-$$\left( 4 x ^ { 3 } + 18 x ^ { 2 } + 26 x - 18 \right) \div \left( x - \frac { 1 } { 2 } \right)$$
A) $4 x ^ { 2 } + 20 x + 36$
B) $4 x ^ { 2 } + 16 x + 18 + \frac { 4 } { x - \frac { 1 } { 2 } }$
C) $4 x ^ { 2 } - 20 x + 36$
D) $4 x ^ { 2 } + 20 x + 36 - \frac { 36 } { x - \frac { 1 } { 2 } }$

Question

Quizplus · Accepted Answer

To divide the given polynomial by $x - \frac{1}{2}$, we can use polynomial long division or synthetic division. The divisor $x - \frac{1}{2}$ suggests that we should use $\frac{1}{2}$ as the value in synthetic division or carefully perform long division. The result of the division is $4x^2 + 20x + 36$, which matches option A.

Divide - (4x3+18x2+26x−18)÷(x−12)\left( 4 x ^ { 3 } + 18 x ^ { 2 } + 26 x - 18 \right) \div \left( x - \frac { 1 } { 2 } \right)(4x3+18x2+26x−18)÷(x−21​)

Divide
- $\left( 4 x ^ { 3 } + 18 x ^ { 2 } + 26 x - 18 \right) \div \left( x - \frac { 1 } { 2 } \right)$