Factor the following polynomial completely. $2 a ^ { 4 } - 32$
A) $2 ( a + 2 ) \left( a ^ { 2 } + 4 \right)$
B) $( a - 2 ) ( a + 2 ) \left( a ^ { 2 } + 4 \right)$
C) $2 ( a - 2 ) ( a + 2 ) \left( a ^ { 2 } + 4 \right)$
D) none of these

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is 2: $2(a^4 - 16)$. Then, recognize $a^4 - 16$ as a difference of squares: $(a^2 - 4)(a^2 + 4)$. Further factor $a^2 - 4$ as $(a - 2)(a + 2)$. Thus, the complete factorization is $2(a - 2)(a + 2)(a^2 + 4)$.

Factor the Following Polynomial Completely 2a4−322 a ^ { 4 } - 322a4−32

Factor the Following Polynomial Completely $2 a ^ { 4 } - 32$