If a polynomial satisfies \(p(x)=0\) for every value of \(x\), what is it called?
Answer and explanation
Correct answer: Zero polynomial
A polynomial whose value is zero for every \(x\), with all its coefficients equal to zero, is called the zero polynomial. Its degree is undefined, so it is not classified as linear, quadratic, or cubic. Exam tip: Interpret \(p(x)=0\) as the zero polynomial when it is true identically for every \(x\).
Frequently asked questions
What is the correct answer to this question?
Zero polynomial
Why is this the correct answer?
A polynomial whose value is zero for every \(x\), with all its coefficients equal to zero, is called the zero polynomial. Its degree is undefined, so it is not classified as linear, quadratic, or cubic. Exam tip: Interpret \(p(x)=0\) as the zero polynomial when it is true identically for every \(x\).
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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