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Factor the trinomial100y^2 - 52y +1

Sagot :

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]

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