Which of the following expressions is a polynomial in one variable \(x\) with real coefficients?
Answer and explanation
Correct answer: \(3x^2-\sqrt{5}x+7\)
In \(3x^2-\sqrt{5}x+7\), the powers of \(x\) are \(2,1,0\), all non-negative integers. \(\sqrt{5}\) is a real coefficient. In B and D, the variable occurs in a denominator, while C has power \(\tfrac12\). Exam tip: check powers of the variable first.
Frequently asked questions
What is the correct answer to this question?
\(3x^2-\sqrt{5}x+7\)
Why is this the correct answer?
In \(3x^2-\sqrt{5}x+7\), the powers of \(x\) are \(2,1,0\), all non-negative integers. \(\sqrt{5}\) is a real coefficient. In B and D, the variable occurs in a denominator, while C has power \(\tfrac12\). Exam tip: check powers of the variable first.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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