What is the coefficient of the missing \(x^3\) term in the polynomial \(7x^5-3x^4+x^2-11\)?
Answer and explanation
Correct answer: 0
The polynomial has no term containing \(x^3\), so it can be written as \(0x^3\) when all powers are considered. Therefore, the coefficient of \(x^3\) is 0. Options A and B are the coefficients of \(x^5\) and \(x^4\), while option D is the coefficient of \(x^2\). Exam tip: the coefficient of any missing power in a polynomial is 0.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The polynomial has no term containing \(x^3\), so it can be written as \(0x^3\) when all powers are considered. Therefore, the coefficient of \(x^3\) is 0. Options A and B are the coefficients of \(x^5\) and \(x^4\), while option D is the coefficient of \(x^2\). Exam tip: the coefficient of any missing power in a polynomial is 0.
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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