x²-11x+30 এবং x³-4x²-2x-15 এর গ সা গু কত?
Solution
Correct Answer: Option A
১ম রাশি ,
x²-11x+30
= x²-6x-5x+30
= x(x-6)-5(x-6)
= (x-6)(x-5)
২য় রাশি ,
x³-4x²-2x-15
= x³-5x²-5x+3x-15
= x²(x-5)+x(x-5)+3(x-5)
= (x-5)(x²+x+3)
অতএব , গ সা গু (x-5)
x²-11x+30
= x²-6x-5x+30
= x(x-6)-5(x-6)
= (x-6)(x-5)
২য় রাশি ,
x³-4x²-2x-15
= x³-5x²-5x+3x-15
= x²(x-5)+x(x-5)+3(x-5)
= (x-5)(x²+x+3)
অতএব , গ সা গু (x-5)
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