Factor out the greatest common factor.
-$14 k ^ { 2 } \left( 10 k ^ { 2 } + 5 \right) - 2 k \left( 10 k ^ { 2 } + 5 \right)$
A) $k \left( 10 k ^ { 2 } + 5 \right) ( 14 k - 2 )$
B) $\left( 10 k ^ { 2 } + 5 \right) \left( 14 k ^ { 2 } - 2 k \right)$
C) $2 k \left( 10 k ^ { 2 } + 5 \right) ( 7 k - 1 )$
D) $2 \left( 10 k ^ { 2 } + 5 \right) \left( 7 k ^ { 2 } - k \right)$

Question

Quizplus · Accepted Answer

The greatest common factor is $2k(10k^2 + 5)$, and when factored out, the remaining terms are $7k$ from the first term and $-1$ from the second term, making the correct factorization $2k(10k^2 + 5)(7k - 1)$.

Factor Out the Greatest Common Factor 14k2(10k2+5)−2k(10k2+5)14 k ^ { 2 } \left( 10 k ^ { 2 } + 5 \right) - 2 k \left( 10 k ^ { 2 } + 5 \right)14k2(10k2+5)−2k(10k2+5)

Factor Out the Greatest Common Factor $14 k ^ { 2 } \left( 10 k ^ { 2 } + 5 \right) - 2 k \left( 10 k ^ { 2 } + 5 \right)$