If I'm factoring $2p^2+p-10$ would the answer be $p(2p+5) -2(2p+5)$?

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If I'm factoring $2p^2+p-10$ would the answer be $p(2p+5) -2(2p+5)$?

And to check would I just distribute and see if it matches up to the original problem?

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You can continue to factor by grouping the $2p+5$ terms: $$p(2p+5)-2(2p+5) = (p-2)(2p+5)$$ From there you can multiply it out to check that it's equal to the original polynomial.