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If \(p(x)=4x^2-3x+2\), what is \(p(3x)\)?यदि \(p(x)=4x^2-3x+2\) है, तो \(p(3x)\) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(36x^2-9x+2\)\(36x^2-9x+2\)
To find \(p(3x)\), replace every occurrence of \(x\) in the polynomial with the complete expression \(3x\): \(p(3x)=4(3x)^2-3(3x)+2=36x^2-9x+2\). In option B, \(4(3x)^2\) is incorrectly treated as \(12x^2\), whereas \((3x)^2=9x^2\). Exam tip: when substituting an expression, apply the exponent to the entire parenthesized expression.\(p(3x)\) ज्ञात करने के लिए बहुपद में प्रत्येक \(x\) के स्थान पर पूरा \(3x\) रखें: \(p(3x)=4(3x)^2-3(3x)+2=36x^2-9x+2\)। विकल्प B में \(4(3x)^2\) को गलत रूप से \(12x^2\) माना गया है, जबकि \((3x)^2=9x^2\)। परीक्षा-युक्ति: प्रतिस्थापन के बाद कोष्ठक वाले पूरे पद का वर्ग अवश्य करें।
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