Use synthetic division to divide. $$\left( 24 + 5 x ^ { 3 } + 22 x - 27 x ^ { 2 } \right) \div ( x - 2 )$$
A) $5 x ^ { 2 } - 17 x - 12$
B) $5 x ^ { 2 } + 11 x - 6$
C) $5 x ^ { 2 } - 7 x - 20$
D) $5 x ^ { 2 } - 7 x + 15$
E) $5 x ^ { 2 } - 22 x + 8$

Question

Use synthetic division to divide. $$\left( 24 + 5 x ^ { 3 } + 22 x - 27 x ^ { 2 } \right) \div ( x - 2 )$$ 
A) $5 x ^ { 2 } - 17 x - 12$
B) $5 x ^ { 2 } + 11 x - 6$
C) $5 x ^ { 2 } - 7 x - 20$
D) $5 x ^ { 2 } - 7 x + 15$
E) $5 x ^ { 2 } - 22 x + 8$

Quizplus · Accepted Answer

Synthetic division:2 | 5 22 -27 24  | 10 22 -10  | 5 34 -37 14So, the quotient is $5x^2 + 34x - 37$, and the remainder is 14. Therefore, the answer is $5x^2 + 34x - 37$, which is choice A.

Use Synthetic Division to Divide (24+5x3+22x−27x2)÷(x−2)\left( 24 + 5 x ^ { 3 } + 22 x - 27 x ^ { 2 } \right) \div ( x - 2 )(24+5x3+22x−27x2)÷(x−2)

Use Synthetic Division to Divide $\left( 24 + 5 x ^ { 3 } + 22 x - 27 x ^ { 2 } \right) \div ( x - 2 )$