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If \\(p(x)=cx+d\\) is a linear polynomial and \\(c\ne0\\), what is its zero?यदि \\(p(x)=cx+d\\) एक रैखिक बहुपद है और \\(c\ne0\\), तो इसका शून्यक क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \\(-\frac{d}{c}\\)\\(-\frac{d}{c}\\)
A zero of a polynomial is the value of \\(x\\) for which \\(p(x)=0\\). Thus, \\(cx+d=0\\) gives \\(cx=-d\\), and since \\(c\ne0\\), \\(x=-\frac{d}{c}\\). Option A misses the negative sign. For exams, remember that the zero of \\(ax+b\\) is \\(-\frac{b}{a}\\).बहुपद का शून्यक वह मान होता है जिसके लिए \\(p(x)=0\\)। इसलिए \\(cx+d=0\\) रखने पर \\(cx=-d\\), अतः \\(x=-\frac{d}{c}\\)। विकल्प A में ऋण चिह्न छूट गया है। परीक्षा में \\(ax+b\\) के शून्यक का सूत्र \\(-\frac{b}{a}\\) याद रखें।
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