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If (p(x)=ax^2+bx+c) and (p(1)=p(2)=p(3)=0), which conclusion is correct?यदि (p(x)=ax^2+bx+c) और (p(1)=p(2)=p(3)=0), तो कौन-सा निष्कर्ष सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (p(x)) is the zero polynomial(p(x)) शून्य बहुपद है
A polynomial of degree at most (2) can have three distinct zeroes only if it is the zero polynomial. A non-zero polynomial cannot have more distinct zeroes than its degree.अधिकतम द्विघात बहुपद के तीन अलग-अलग शून्यक तभी हो सकते हैं जब वह शून्य बहुपद हो। घात से अधिक अलग शून्यक असंभव होते हैं।
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