A student says that \(3x^2-5x+7\) is not a polynomial in one variable because it has three terms. What is the correct evaluation of the student's statement?
Answer and explanation
Correct answer: The statement is incorrect because a polynomial in one variable may have several terms with non-negative integer powers of one variable.
The statement is incorrect. \(3x^2-5x+7\) has only one variable, \(x\), with powers 2, 1 and 0, all non-negative integers. The number of terms does not decide the number of variables. Exam tip: a constant has power 0.
Frequently asked questions
What is the correct answer to this question?
The statement is incorrect because a polynomial in one variable may have several terms with non-negative integer powers of one variable.
Why is this the correct answer?
The statement is incorrect. \(3x^2-5x+7\) has only one variable, \(x\), with powers 2, 1 and 0, all non-negative integers. The number of terms does not decide the number of variables. Exam tip: a constant has power 0.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
