If (g(x)=4x^8-4x^8+x^6-x^3), what is the degree of (g(x))?
Answer and explanation
Correct answer: \(6\)
In the given polynomial, \(4x^8-4x^8=0\). Thus, \(g(x)=x^6-x^3\). The highest power with a non-zero coefficient is \(6\), so the degree of the polynomial is \(6\). Option \(8\) is incorrect because the \(x^8\) terms cancel each other. Exam tip: simplify a polynomial by combining like terms before finding its degree.
Frequently asked questions
What is the correct answer to this question?
\(6\)
Why is this the correct answer?
In the given polynomial, \(4x^8-4x^8=0\). Thus, \(g(x)=x^6-x^3\). The highest power with a non-zero coefficient is \(6\), so the degree of the polynomial is \(6\). Option \(8\) is incorrect because the \(x^8\) terms cancel each other. Exam tip: simplify a polynomial by combining like terms 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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