x²-11x+30 এবং x³-4x²-2x-15 এর গ.সা.গু কত?
Correct Answer: Option A
১ম রাশিঃ
\(\begin{array}{l}
{x^2} - 11x + 30\\
= {x^2} - 5x - 6x + 30\\
= x(x - 5) - 6(x - 5)\\
= (x - 5)(x - 6)
\end{array}\)
২য় রাশিঃ
\[\begin{array}{l}
{x^3} - 4{x^2} - 2x - 15\\
= {x^3} - 5{x^2} + {x^2} - 5x + 3x - 15\\
= {x^2}(x - 5) + x(x - 5) + 3(x - 5)\\
= (x - 5)({x^2} + x + 3)
\end{array}\]
উত্তরঃ (x - 5)
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