Home›MPPSC Forest›State Forest Service Mains Exam›Section 'B': Forestry and General Science›UNIT-10: Elementary Mathematics and General Mental Ability›Simple formula and their use factors, H.C.F., L.C.M. by factors, fractions, simple equations›Factors of the polynomial 2x^3 + x^2 - 7x - 6 are:

Factors of the polynomial 2x3+x2−7x−62x^3 + x^2 - 7x - 62x3+x2−7x−6 are:

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A.x+1, x-2 and 2x+3Correct
B.x+1, x+2 and 2x+3
C.x-1, x+2 and x+3
D.None of these
Explanation & Solution

Correct Answer: (A) x+1, x-2 and 2x+3

To find the factors of polynomial P\text{P}P(x) = 2x^3 + x^2 - 7x - 6, we can test the roots using the factor theorem. Testing x = -1, x = 2, and x = -3/2 yields zero remainders, confirming that the linear factors are (x+1), (x-2), and (2x+3).

हिंदी में प्रश्न एवं आदर्श उत्तर

बहुपाद 2x3+x2−7x−62x^3 + x^2 - 7x - 62x3+x2−7x−6 के गुणन खण्ड हैं:

A.x+1, x-2 एवं 2x+3सही
B.x+1, x+2 एवं 2x+3
C.x-1, x+2 एवं x+3
D.इनमें से कोई नहीं

सही उत्तर: (A) x+1, x-2 एवं 2x+3

बहुपद P\text{P}P(x) = 2x^3 + x^2 - 7x - 6 के गुणनखंडन के लिए गुणन प्रमेय का प्रयोग करने पर मूल (x+1), (x-2) तथा (2x+3) प्राप्त होते हैं जो बहुपद को संतुष्ट करते हैं।

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