Completely factor the polynomial or state that the polynomial is prime.
-$343 y ^ { 3 } - 1$
A) $( 343 y - 1 ) \left( y ^ { 2 } + 7 y + 1 \right)$
B) $( 7 y + 1 ) \left( 49 y ^ { 2 } - 7 y + 1 \right)$
C) $( 7 y - 1 ) \left( 49 y ^ { 2 } + 7 y + 1 \right)$
D) $( 7 y - 1 ) \left( 49 y ^ { 2 } + 1 \right)$

Question

Quizplus · Accepted Answer

The polynomial $343y^3 - 1$ is a difference of cubes, which can be factored as $(a^3 - b^3) = (a - b)(a^2 + ab + b^2)$, where $a = 7y$ and $b = 1$.

Completely Factor the Polynomial or State That the Polynomial Is 343y3−1343 y ^ { 3 } - 1343y3−1

Completely Factor the Polynomial or State That the Polynomial Is $343 y ^ { 3 } - 1$