Use a calculator and synthetic division to perform the division. $\left( 15 x ^ { 3 } - 25 \right) \div ( x + 53 )$
A) $15 x ^ { 2 } - 795 x + 42,135 - \frac { 2,233,180 } { x + 53 }$
B) $15 x ^ { 2 } - 795 x + 42,180 - \frac { 2,233,250 } { x + 53 }$
C) $15 x ^ { 2 } - 795 x + 42,160 - \frac { 2,233,250 } { x + 53 }$
D) $15 x ^ { 2 } - 795 x + 42,170 - \frac { 2,233,240 } { x + 53 }$

Question

Quizplus · Accepted Answer

Using synthetic division with $x = -53$, the coefficients of the dividend $15x^3 - 25$ become $15, 0, 0, -25$. The synthetic division process yields a quotient of $15x^2 - 795x + 42135$ and a remainder of $-2,233,180$, making option A correct.

Use a Calculator and Synthetic Division to Perform the Division (15x3−25)÷(x+53)\left( 15 x ^ { 3 } - 25 \right) \div ( x + 53 )(15x3−25)÷(x+53)

Use a Calculator and Synthetic Division to Perform the Division $\left( 15 x ^ { 3 } - 25 \right) \div ( x + 53 )$