After simplifying (4x^4-4x^4+6x^2-1), what will be the degree?
Answer and explanation
Correct answer: 2
On simplification, the like terms cancel: \(4x^4-4x^4=0\). Thus, the polynomial becomes \(6x^2-1\). The highest power of \(x\) with a non-zero coefficient is \(2\), so its degree is \(2\). Option 4 is incorrect because the \(x^4\) terms cancel completely. Exam tip: simplify a polynomial first, then identify the highest remaining exponent with a non-zero coefficient.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
On simplification, the like terms cancel: \(4x^4-4x^4=0\). Thus, the polynomial becomes \(6x^2-1\). The highest power of \(x\) with a non-zero coefficient is \(2\), so its degree is \(2\). Option 4 is incorrect because the \(x^4\) terms cancel completely. Exam tip: simplify a polynomial first, then identify the highest remaining exponent with a non-zero coefficient.
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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