Question

Factor the trinomial100y^2 - 52y +1

Answer 1

- The question tells us to factor the following trinomial:

`100x^2-52x+1`

- We simply need to rewrite the x-term and factorize the result

- This is done below:

`\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}`

Final Answer

The factored trinomial is

`(2x-1)(50x-1)`