Use synthetic division to divide. $\left( 4 x ^ { 3 } + 11 x ^ { 2 } - 43 x + 10 \right) \div ( x + 5 )$
A) $4 x ^ { 2 } - 11 x - 5$
B) $4 x ^ { 2 } - 9 x + 2$
C) $4 x ^ { 2 } - 3 x - 10$
D) $4 x ^ { 2 } + 19 x - 4$
E) $4 x ^ { 2 } + 6 x - 8$

Question

Quizplus · Accepted Answer

To use synthetic division to divide $4x^3 + 11x^2 - 43x + 10$ by $x + 5$, we set up the division with -5 (the root of $x + 5 = 0$) and the coefficients of the polynomial: 4, 11, -43, 10. The synthetic division process gives us a quotient of $4x^2 - 9x + 2$, which matches choice B.

Use Synthetic Division to Divide (4x3+11x2−43x+10)÷(x+5)\left( 4 x ^ { 3 } + 11 x ^ { 2 } - 43 x + 10 \right) \div ( x + 5 )(4x3+11x2−43x+10)÷(x+5)

Use Synthetic Division to Divide $\left( 4 x ^ { 3 } + 11 x ^ { 2 } - 43 x + 10 \right) \div ( x + 5 )$