Use a General Strategy for Factoring Polynomials
-$$2 x ^ { 3 } - 98 a ^ { 2 } x + 8 x ^ { 2 } + 8 x$$

Question

Quizplus · Accepted Answer

First, reorder the polynomial as $2x^3 + 8x^2 - 98a^2x + 8x$. Factoring out the greatest common factor (GCF) of $2x$, we get $2x(x^2 + 4x - 49a^2)$. Then, factor the quadratic $x^2 + 4x - 49a^2$ into $(x + 2 + 7a)(x + 2 - 7a)$, resulting in the final factorization of $2x(x + 2 + 7a)(x + 2 - 7a)$.

Use a General Strategy for Factoring Polynomials - 2x3−98a2x+8x2+8x2 x ^ { 3 } - 98 a ^ { 2 } x + 8 x ^ { 2 } + 8 x2x3−98a2x+8x2+8x

Use a General Strategy for Factoring Polynomials
- $2 x ^ { 3 } - 98 a ^ { 2 } x + 8 x ^ { 2 } + 8 x$