Use any method to factor $x ^ { 2 } + 18 x + 81$
A) $( x - 9 ) ( x - 9 )$
B) $( x + 9 ) ( x - 9 )$
C) $( x + 3 ) ( x + 27 )$
D) $( x - 3 ) ( x - 27 )$
E) $( x + 9 ) ( x + 9 )$

Question

Quizplus · Accepted Answer

The given quadratic $x^2 + 18x + 81$ can be factored as a perfect square because $18x$ is twice the product of the square root of $x^2$ (which is $x$) and the square root of $81$ (which is $9$). Therefore, it factors into $(x + 9)^2$ or $(x + 9)(x + 9)$, which matches option E.

Use Any Method to Factor x2+18x+81x ^ { 2 } + 18 x + 81x2+18x+81

Use Any Method to Factor $x ^ { 2 } + 18 x + 81$