Respected Sir/Ma'am

I am having a problem in solving the following question ; can you please help me out :-

Factorise the following :-
x²/2 + 9x/2 + 10

Thank You

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Solution

x²/2 + 9x/2 + 10 = x²/2 + 9x/2 + 20/2
= 1/2 ( x² + 9x + 20)
= 1/2 (x² + 5x + 4x + 20)
= 1/2 x (x+5) 4(x+5)
= 1/2 (x+4)(x+5)

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