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If the value of the polynomial p(x) = x³ + mx − 10 at x = 2 is zero, what is the value of m?यदि बहुपद p(x) = x³ + mx − 10 का x = 2 पर मान शून्य है, तो m का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 11
Since p(2) = 0, substitute x = 2 into the polynomial: 2³ + 2m − 10 = 0. Thus, 8 + 2m − 10 = 0, so 2m = 2 and m = 1. Therefore, option A is correct.चूँकि p(2) = 0 है, बहुपद में x = 2 रखने पर 2³ + 2m − 10 = 0 मिलता है। अतः 8 + 2m − 10 = 0, जिससे 2m = 2 और m = 1 प्राप्त होता है। इसलिए विकल्प A सही है।
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