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$4-2025$ WIN

For $x^2+Bx+C=(x+a)(x+b),$ which of the following must be true?

Choose the correct answer below.

A$.a+b=C$ and $a-b=B$

B$.ab=B$ and $a+b=C$

C$.ab=B$ and $a-b=c$

D$.ab=C$ and $a+b=B$