Factor the perfect square trinomial. $p ^ { 2 } + \frac { 12 } { 5 } p + \frac { 36 } { 25 }$
A) $\left( p + \frac { 12 } { 5 } \right) ^ { 2 }$
B) $\left( p + \frac { 6 } { 5 } \right) ^ { 2 }$
C) $\left( p - \frac { 6 } { 5 } \right) ^ { 2 }$
D) $\left( p - \frac { 12 } { 5 } \right) ^ { 2 }$
E) $\left( p + \frac { 6 } { 5 } \right) \left( p - \frac { 6 } { 5 } \right)$

Question

Quizplus · Accepted Answer

The correct factorization is found by identifying the square root of the first term, $p$, and the square root of the last term, $\frac{6}{5}$, and then using the middle term to determine the sign and coefficient of the binomial. The middle term, $\frac{12}{5}p$, is twice the product of $p$ and $\frac{6}{5}$, indicating a perfect square trinomial of the form $\left( p + \frac{6}{5} \right)^2$.

Factor the Perfect Square Trinomial p2+125p+3625p ^ { 2 } + \frac { 12 } { 5 } p + \frac { 36 } { 25 }p2+512​p+2536​

Factor the Perfect Square Trinomial $p ^ { 2 } + \frac { 12 } { 5 } p + \frac { 36 } { 25 }$