Question
If x^3 + 2x^2 – 5x + k is divisible by x + 1, then what is the value of k?
यदि x^3 + 2x^2 - 5x + k , x + 1 से विभाज्य है, तो k का मान क्या है?
A.
B.
C.
D.
Answer A.
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A.Using remainder theorem the given expression should be equal to zero when we put x + 1 = 0 x = -1 Put x=-1 in the given equation- =x^3 + 2x^2 – 5x + k = 0 = -1^3 + 2(-1)^2 – 5 (-1) + k = 0 = k = -6 So the correct answer is option A.
A.शेष प्रमेय का उपयोग करते हुए दी गई अभिव्यक्ति शून्य के बराबर होनी चाहिए जब हम x + 1 = 0 रखे l x = -1 दिए गए समीकरण में x = -1 रखने पर - = x^3 + 2x^2 - 5x + k = 0 = -1^3 + 2 (-1)^2 - 5 (-1) + k = 0 = k = -6 इसलिए सही उत्तर विकल्प A है।
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