What type of polynomial is (9)?
Answer and explanation
Correct answer: Constant polynomial
A polynomial is called constant when it has no variable term. The expression 9 is simply a fixed number, so its value remains 9 regardless of the value assigned to x. Therefore it is a constant polynomial, and choice C is correct. It is not linear, quadratic, or cubic because those types require a variable with highest powers 1, 2, or 3 respectively.
For a non-zero constant polynomial, the degree is 0. This is because 9 can be written as 9x^0, and the highest exponent present is 0. The number 9 is not the degree; it is the coefficient or value of the polynomial. The special zero polynomial needs separate treatment, but that issue does not arise here because 9 is non-zero.
Frequently asked questions
What is the correct answer to this question?
Constant polynomial
Why is this the correct answer?
A polynomial is called constant when it has no variable term. The expression 9 is simply a fixed number, so its value remains 9 regardless of the value assigned to x. Therefore it is a constant polynomial, and choice C is correct. It is not linear, quadratic, or cubic because those types require a variable with highest powers 1, 2, or 3 respectively.
For a non-zero constant polynomial, the degree is 0. This is because 9 can be written as 9x^0, and the highest exponent present is 0. The number 9 is not the degree; it is the coefficient or value of the polynomial. The special zero polynomial needs separate treatment, but that issue does not arise here because 9 is non-zero.
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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