After simplifying (2x^2-2x^2+4x-3), what will be the degree?
Answer and explanation
Correct answer: 1
Combining like terms gives \(2x^2-2x^2=0\). Thus, the polynomial becomes \(4x-3\). The highest power of \(x\) in this simplified polynomial is 1, so its degree is 1. Option 2 may seem tempting if the original \(x^2\) terms are considered without simplifying, but those terms cancel out. Exam tip: Always simplify a polynomial before finding its degree.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
Combining like terms gives \(2x^2-2x^2=0\). Thus, the polynomial becomes \(4x-3\). The highest power of \(x\) in this simplified polynomial is 1, so its degree is 1. Option 2 may seem tempting if the original \(x^2\) terms are considered without simplifying, but those terms cancel out. Exam tip: Always simplify a polynomial before finding its degree.
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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