Factor out the greatest common factor. Assume that variables used as exponents represent positive integers.
-$$14 x ^ { 3 a } - 4 x ^ { 2 a } + 10 x ^ { a }$$
A) $2 x ^ { a } \left( 7 x ^ { 2 a } - 2 x ^ { a } + 5 \right)$
B) $x ^ { a } \left( 14 x ^ { 2 a } - 4 x ^ { a } + 10 \right)$
C) $2 \left( 7 x ^ { 3 a } - 2 x ^ { 2 a } + 5 x ^ { a } \right)$
D) $2 x ^ { a } \left( 7 x ^ { 3 a } - 2 x ^ { 2 a } + 5 x ^ { a } \right)$

Question

Quizplus · Accepted Answer

The greatest common factor among the terms $14x^{3a}$, $-4x^{2a}$, and $10x^{a}$ is $2x^{a}$, since 2 is the largest number that divides 14, -4, and 10, and $x^{a}$ is the highest power of $x$ that is common to all terms. Factoring $2x^{a}$ out of each term gives $2x^{a}(7x^{2a} - 2x^{a} + 5)$.

Factor Out the Greatest Common Factor 14x3a−4x2a+10xa14 x ^ { 3 a } - 4 x ^ { 2 a } + 10 x ^ { a }14x3a−4x2a+10xa

Factor Out the Greatest Common Factor $14 x ^ { 3 a } - 4 x ^ { 2 a } + 10 x ^ { a }$