Factor the perfect square trinomial. 25s² + 20s + 4 A) (5s - 2)(5s + 2) B) (25s - 2)(s + 2) C) (-5s + 2)² D) (5s + 2)² E) (5s - 2)²

Question

Quizplus · Accepted Answer

The correct factorization of the given perfect square trinomial $25s^2 + 20s + 4$ is $(5s + 2)^2$, which matches option D. This is because the square root of $25s^2$ is $5s$, the square root of $4$ is $2$, and twice their product ($2 \times 5s \times 2$) gives the middle term $20s$.

Factor the Perfect Square Trinomial