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Which of the following polynomials has \(x-2y\) as a factor?निम्नलिखित में से किस बहुपद का एक गुणनखंड \(x-2y\) है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(3x^2-2xy-8y^2\)\(3x^2-2xy-8y^2\)
If \(x-2y\) is a factor, substituting \(x=2y\) must make the polynomial zero. For option A, \(3(2y)^2-2(2y)y-8y^2=12y^2-4y^2-8y^2=0\). Exam tip: test a linear factor by using its zero value.यदि \(x-2y\) गुणनखंड है, तो \(x=2y\) रखने पर बहुपद का मान 0 होगा। विकल्प A में \(3(2y)^2-2(2y)y-8y^2=12y^2-4y^2-8y^2=0\) है। परीक्षा में रैखिक गुणनखंड जाँचने के लिए यह प्रतिस्थापन विधि अपनाएँ।
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