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Q1)Which one of the following algebraic expressions is a polynomial in variable x ? (A) x² 2/x² (B) √x 1/√x (C) x² 3x⅔/x⅓ (D) None of these?
Most Upvoted Answer
Q1)Which one of the following algebraic expressions is a polynomial in...
**Answer:**
A polynomial is an algebraic expression that consists of variables, coefficients, and exponents, with only addition, subtraction, and multiplication operations. It does not involve division by a variable.
Let's analyze each option:
**(A) x² 2/x²:**
This expression contains a polynomial term, x², but it also includes a term with division by x², which violates the rule of not involving division by a variable. Therefore, this expression is not a polynomial.
**(B) √x 1/√x:**
This expression includes terms with square root (√x) and division by square root (1/√x), which are not allowed in a polynomial. Hence, this expression is not a polynomial.
**(C) x² 3x⅔/x⅓:**
This expression can be simplified as follows:
x² + 3x⅔/x⅓
The term x² is a polynomial term. However, the term 3x⅔/x⅓ involves division by x⅓, violating the rule of not involving division by a variable. Therefore, this expression is not a polynomial.
**Conclusion:**
None of the given algebraic expressions (A), (B), or (C) are polynomials because they all involve division by a variable, which is not allowed in a polynomial.
A polynomial is an algebraic expression that consists of variables, coefficients, and exponents, with only addition, subtraction, and multiplication operations. It does not involve division by a variable.
Let's analyze each option:
**(A) x² 2/x²:**
This expression contains a polynomial term, x², but it also includes a term with division by x², which violates the rule of not involving division by a variable. Therefore, this expression is not a polynomial.
**(B) √x 1/√x:**
This expression includes terms with square root (√x) and division by square root (1/√x), which are not allowed in a polynomial. Hence, this expression is not a polynomial.
**(C) x² 3x⅔/x⅓:**
This expression can be simplified as follows:
x² + 3x⅔/x⅓
The term x² is a polynomial term. However, the term 3x⅔/x⅓ involves division by x⅓, violating the rule of not involving division by a variable. Therefore, this expression is not a polynomial.
**Conclusion:**
None of the given algebraic expressions (A), (B), or (C) are polynomials because they all involve division by a variable, which is not allowed in a polynomial.
Community Answer
Q1)Which one of the following algebraic expressions is a polynomial in...
Option d is correct.
because option a ,b and don't have power a whole number.
because option a ,b and don't have power a whole number.
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Q1)Which one of the following algebraic expressions is a polynomial in variable x ? (A) x² 2/x² (B) √x 1/√x (C) x² 3x⅔/x⅓ (D) None of these?
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Q1)Which one of the following algebraic expressions is a polynomial in variable x ? (A) x² 2/x² (B) √x 1/√x (C) x² 3x⅔/x⅓ (D) None of these? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Q1)Which one of the following algebraic expressions is a polynomial in variable x ? (A) x² 2/x² (B) √x 1/√x (C) x² 3x⅔/x⅓ (D) None of these? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q1)Which one of the following algebraic expressions is a polynomial in variable x ? (A) x² 2/x² (B) √x 1/√x (C) x² 3x⅔/x⅓ (D) None of these?.
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