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If \(p(x)=3x^4-5x^2+2x-7\), what is the sum of the coefficients of the terms with odd powers of \(x\)?
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Answer and explanation
Correct answer: 2
The powers in \(3x^4\), \(-5x^2\), and \(-7=-7x^0\) are 4, 2, and 0, respectively, and all are even. Only \(2x=2x^1\) has an odd power, so the required sum is 2. Exam tip: the constant term has power 0, which is even, not odd.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
The powers in \(3x^4\), \(-5x^2\), and \(-7=-7x^0\) are 4, 2, and 0, respectively, and all are even. Only \(2x=2x^1\) has an odd power, so the required sum is 2. Exam tip: the constant term has power 0, which is even, not odd.
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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