Which statement is correct about the polynomial \(5x^2-3x+7\)?
Answer and explanation
Correct answer: It is a quadratic polynomial
In the polynomial \(5x^2-3x+7\), the highest power of the variable \(x\) is 2, and its leading coefficient, 5, is non-zero. Hence, its degree is 2 and it is a quadratic polynomial. It would be linear if the highest power were 1 and cubic if it were 3. Exam tip: The degree of a polynomial is the highest exponent of its variable with a non-zero coefficient.
Frequently asked questions
What is the correct answer to this question?
It is a quadratic polynomial
Why is this the correct answer?
In the polynomial \(5x^2-3x+7\), the highest power of the variable \(x\) is 2, and its leading coefficient, 5, is non-zero. Hence, its degree is 2 and it is a quadratic polynomial. It would be linear if the highest power were 1 and cubic if it were 3. Exam tip: The degree of a polynomial is the highest exponent of its variable with a non-zero coefficient.
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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