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If (p(x)=5x+4) and (q(x)=5x-6), what type of polynomial is (p(x)-q(x))?यदि (p(x)=5x+4) और (q(x)=5x-6), तो (p(x)-q(x)) किस प्रकार का बहुपद है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Constant polynomialनियतांक बहुपद
p(x)-q(x)=(5x+4)-(5x-6)=5x+4-5x+6=10. No term containing x remains, so the result is a non-zero constant polynomial. It is not a zero polynomial, which would require the result to be 0. Exam tip: while subtracting polynomials, change the sign of every term in the second polynomial.p(x)-q(x)=(5x+4)-(5x-6)=5x+4-5x+6=10। इसमें x का कोई पद नहीं बचता, इसलिए यह अशून्य नियतांक बहुपद है। शून्य बहुपद केवल तब होता जब सभी पद कटकर 0 प्राप्त होता। परीक्षा टिप: घटाते समय दूसरे बहुपद के प्रत्येक पद का चिह्न बदलना न भूलें।
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