Which of the following powers has a missing term in the polynomial \(p(x)=x^5+3x^3-2\)?
Answer and explanation
Correct answer: \(x^4\)
The terms containing \(x^5\) and \(x^3\) are present. The constant term \(-2\) can be written as \(-2x^0\), so the power \(x^0\) is also present. There is no \(x^4\) term, which means its coefficient is 0. Exam tip: To identify a missing power, check whether its coefficient appears in the polynomial; a missing term has coefficient zero.
Frequently asked questions
What is the correct answer to this question?
\(x^4\)
Why is this the correct answer?
The terms containing \(x^5\) and \(x^3\) are present. The constant term \(-2\) can be written as \(-2x^0\), so the power \(x^0\) is also present. There is no \(x^4\) term, which means its coefficient is 0. Exam tip: To identify a missing power, check whether its coefficient appears in the polynomial; a missing term has coefficient 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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