Class 8 Exam > Class 8 Questions > Which of the following is not a polynomial ?a...
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Which of the following is not a polynomial ?
- a)x2 -x+ 1
- b)x3 - x3 = 1
- c)x2 + x- 2
- d)x4 - x + 3
Correct answer is option 'B'. Can you explain this answer?
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Which of the following is not a polynomial ?a)x2 -x+ 1b)x3 - x3 = 1c)x...
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Which of the following is not a polynomial ?a)x2 -x+ 1b)x3 - x3 = 1c)x...
Explanation:
A polynomial is an algebraic expression consisting of one or more terms combined using addition, subtraction, and multiplication, where each term is a product of a constant and one or more variables raised to non-negative integer exponents.
Let's analyze each option to determine if it is a polynomial or not:
a) x^2 - x + 1:
This expression is a polynomial because it consists of three terms: x^2, -x, and 1. Each term is a product of a constant (1) and a variable raised to a non-negative integer exponent (x^2 and x). Therefore, option 'a' is a polynomial.
b) x^2 + x - 2:
This expression is also a polynomial because it consists of three terms: x^2, x, and -2. Each term is a product of a constant (1 or -2) and a variable raised to a non-negative integer exponent (x^2 and x). Therefore, option 'b' is a polynomial.
c) x^3 - x^3 + 1:
This expression is a polynomial because it consists of three terms: x^3, -x^3, and 1. Each term is a product of a constant (1) and a variable raised to a non-negative integer exponent (x^3). Therefore, option 'c' is a polynomial.
d) x^4 - x - 3:
This expression is a polynomial because it consists of three terms: x^4, -x, and -3. Each term is a product of a constant (1 or -3) and a variable raised to a non-negative integer exponent (x^4 and x). Therefore, option 'd' is a polynomial.
Therefore, the correct answer is option 'B' (x^2 + x - 2) is not a polynomial.
A polynomial is an algebraic expression consisting of one or more terms combined using addition, subtraction, and multiplication, where each term is a product of a constant and one or more variables raised to non-negative integer exponents.
Let's analyze each option to determine if it is a polynomial or not:
a) x^2 - x + 1:
This expression is a polynomial because it consists of three terms: x^2, -x, and 1. Each term is a product of a constant (1) and a variable raised to a non-negative integer exponent (x^2 and x). Therefore, option 'a' is a polynomial.
b) x^2 + x - 2:
This expression is also a polynomial because it consists of three terms: x^2, x, and -2. Each term is a product of a constant (1 or -2) and a variable raised to a non-negative integer exponent (x^2 and x). Therefore, option 'b' is a polynomial.
c) x^3 - x^3 + 1:
This expression is a polynomial because it consists of three terms: x^3, -x^3, and 1. Each term is a product of a constant (1) and a variable raised to a non-negative integer exponent (x^3). Therefore, option 'c' is a polynomial.
d) x^4 - x - 3:
This expression is a polynomial because it consists of three terms: x^4, -x, and -3. Each term is a product of a constant (1 or -3) and a variable raised to a non-negative integer exponent (x^4 and x). Therefore, option 'd' is a polynomial.
Therefore, the correct answer is option 'B' (x^2 + x - 2) is not a polynomial.
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Which of the following is not a polynomial ?a)x2 -x+ 1b)x3 - x3 = 1c)x...
Correct option is option B
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Which of the following is not a polynomial ?a)x2 -x+ 1b)x3 - x3 = 1c)x2 + x- 2d)x4 - x + 3Correct answer is option 'B'. Can you explain this answer?
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