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### Factor each polynomial. If a polynomial cannot be…

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Problem 26

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.
$$s^{2}-10 s t+25 t^{2}$$

$s^{2}-10 s t+25 t^{2}=(s-5 t)^{2}$

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## Video Transcript

breast a factor. This rhino meal here it has a leading coefficient of one. So that means we can take 25. And we want to find factors of 25. Multiply together to be 25 and add together to be negative 10. So the negative sign tells us that bull's factors need to be negative. So that would be negative. Five times negative. So this tells us our expression can be factored into s minus five T and US minus five T and sensible factors are identical. We can rewrite this as us minus five t all squared.