Use long division to divide.
$\left( x ^ { 3 } - 343 \right) \div ( x - 7 )$
A) $x ^ { 2 } + 7 x + 49 , x \neq 7$
B) $x ^ { 2 } - 7 x + 49 , x \neq 7$
C) $x ^ { 2 } + 7 x - 49 , x \neq 7$
D) $x ^ { 2 } - 7 x - 49 , x \neq 7$
E) $- x ^ { 2 } + 7 x + 49 , x \neq 7$

Question

Use long division to divide. 
 $\left( x ^ { 3 } - 343 \right) \div ( x - 7 )$  
A)  $x ^ { 2 } + 7 x + 49 , x \neq 7$
B) $x ^ { 2 } - 7 x + 49 , x \neq 7$
C) $x ^ { 2 } + 7 x - 49 , x \neq 7$
D) $x ^ { 2 } - 7 x - 49 , x \neq 7$
E) $- x ^ { 2 } + 7 x + 49 , x \neq 7$

Quizplus · Accepted Answer

Dividing $x^3 - 343$ by $x - 7$ using long division or synthetic division, we find that the quotient is $x^2 + 7x + 49$, since $343 = 7^3$ and the division follows the pattern of the difference of cubes formula, $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$, with $a = x$ and $b = 7$.

Use Long Division to Divide (x3−343)÷(x−7)\left( x ^ { 3 } - 343 \right) \div ( x - 7 )(x3−343)÷(x−7)

Use Long Division to Divide $\left( x ^ { 3 } - 343 \right) \div ( x - 7 )$