Questions: Factor any perfect square trinomials.
36 x^2 -12 x + 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. 36 x^2 -12 x +1=
B. The polynomial is prime.
Transcript text: Factor any perfect square trinomials.
\[
36 x^{2}-12 x+1
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $36 x^{2}-12 x+1=$ $\square$
B. The polynomial is prime.
Solution
Solution Steps
Step 1: Identify the polynomial as a perfect square trinomial
Given the polynomial $36x^2 - 12x + 1$, since $b^2 = 4ac$, it is a perfect square trinomial.
Step 2: Factor the perfect square trinomial
Final Answer: The factored form is $(6.0x - 1)^2$.