Question

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

Polynomial factorization
ANSWERED
asked 2021-06-04
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
\(s^{2}-10st+25t\)

Answers (1)

2021-06-05
Step 1
Solution:
Consider the given expression is
\(s^{2}-10st+25t\)
Here, -10 st can be factorized into -5st and -5st that is
\(s^{2}-10st+25t=s^{2}-5st-5st+25t\)
\(s^{2}-5st-5st+25t=s(s-5t)-5t(s-5)\)
\(s^{2}-10st+25t=s(s-5t)-5t(s-5)\)
Step 2
This is the required prime factor of the given expression.
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