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?
Answer A.
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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