Use a General Strategy for Factoring Polynomials
-$$y ^ { 5 } - 625 y$$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $y$, giving $y(y^4 - 625)$. Recognize $y^4 - 625$ as a difference of squares: $y^4 - 25^2$, which factors further into $(y^2 + 25)(y^2 - 25)$. The term $y^2 - 25$ is also a difference of squares and can be factored into $(y + 5)(y - 5)$. Thus, the complete factorization is $y(y^2 + 25)(y + 5)(y - 5)$.

Use a General Strategy for Factoring Polynomials - y5−625yy ^ { 5 } - 625 yy5−625y

Use a General Strategy for Factoring Polynomials
- $y ^ { 5 } - 625 y$