यदि (q(x)=x-4+x^{\frac{1}{2}}+1), तो (q(x)) बहुपद क्यों नहीं है?

If (q(x)=x-4+x^{\frac{1}{2}}+1), why is (q(x)) not a polynomial?

Explanation opens after your attempt
Correct Answer

C. क्योंकि \(x^{\frac{1}{2}}\) की घात भिन्न हैBecause \(x^{\frac{1}{2}}\) has a fractional power

Step 1

Concept

In \(x^{\frac{1}{2}}\), the variable has a fractional power. Such a power is not valid in a polynomial.

Step 2

Why this answer is correct

The correct answer is C. क्योंकि \(x^{\frac{1}{2}}\) की घात भिन्न है / Because \(x^{\frac{1}{2}}\) has a fractional power. In \(x^{\frac{1}{2}}\), the variable has a fractional power. Such a power is not valid in a polynomial.

Step 3

Exam Tip

\(x^{\frac{1}{2}}\) में चर की घात भिन्न है। बहुपद में ऐसी घात मान्य नहीं होती।

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Mathematics Answer, Explanation and Revision Hints

यदि (q(x)=x-4+x^{\frac{1}{2}}+1), तो (q(x)) बहुपद क्यों नहीं है? / If (q(x)=x-4+x^{\frac{1}{2}}+1), why is (q(x)) not a polynomial?

Correct Answer: C. क्योंकि \(x^{\frac{1}{2}}\) की घात भिन्न है / Because \(x^{\frac{1}{2}}\) has a fractional power. Explanation: \(x^{\frac{1}{2}}\) में चर की घात भिन्न है। बहुपद में ऐसी घात मान्य नहीं होती। / In \(x^{\frac{1}{2}}\), the variable has a fractional power. Such a power is not valid in a polynomial.

Which concept should I revise for this Mathematics MCQ?

In \(x^{\frac{1}{2}}\), the variable has a fractional power. Such a power is not valid in a polynomial.

What exam hint can help solve this Mathematics question?

\(x^{\frac{1}{2}}\) में चर की घात भिन्न है। बहुपद में ऐसी घात मान्य नहीं होती।