Which option has a polynomial of degree (4) but coefficient of (x^3) is (0)?
Answer and explanation
Correct answer: \(3x^4-2x+1\)
In \(3x^4-2x+1\), the highest power of \(x\) is \(4\), so its degree is \(4\). Since there is no \(x^3\) term, the coefficient of \(x^3\) is \(0\). In option B, the coefficient of \(x^3\) is \(1\), so it is not correct. Exam tip: The coefficient of any missing power of a variable is always \(0\).
Frequently asked questions
What is the correct answer to this question?
\(3x^4-2x+1\)
Why is this the correct answer?
In \(3x^4-2x+1\), the highest power of \(x\) is \(4\), so its degree is \(4\). Since there is no \(x^3\) term, the coefficient of \(x^3\) is \(0\). In option B, the coefficient of \(x^3\) is \(1\), so it is not correct. Exam tip: The coefficient of any missing power of a variable is always \(0\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
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