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Which of the following expressions is a polynomial in one variable of degree 4, although it is not written in expanded form?
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Answer and explanation
Correct answer: \(x^2(x^2+1)\)
\(x^2(x^2+1)=x^4+x^2\), so the highest power of the variable is 4 and all powers are non-negative integers. Option C has degree 5, while B and D involve fractional and negative powers. Exam tip: check exponents first.
Frequently asked questions
What is the correct answer to this question?
\(x^2(x^2+1)\)
Why is this the correct answer?
\(x^2(x^2+1)=x^4+x^2\), so the highest power of the variable is 4 and all powers are non-negative integers. Option C has degree 5, while B and D involve fractional and negative powers. Exam tip: check exponents first.
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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