Solution
- The question tells us to factor the following trinomial:
[tex]100x^2-52x+1[/tex]- We simply need to rewrite the x-term and factorize the result
- This is done below:
[tex]\begin{gathered} 100x^2-52x+1 \\ 100x^2-50x-2x+1 \\ \text{Factorize} \\ 50x(2x-1)-1(2x-1) \\ \\ (2x-1)\text{ is co}mmon\text{ so we factorize it out} \\ \\ (2x-1)(50x-1) \end{gathered}[/tex]Final Answer
The factored trinomial is
[tex](2x-1)(50x-1)[/tex]