Which option represents the polynomial \(6x^3+0x^2-2x+9\) in its simplified form?
Answer and explanation
Correct answer: \(6x^3-2x+9\)
A term with a zero coefficient can be omitted from a polynomial. Since \(0x^2=0\), the simplified polynomial is \(6x^3-2x+9\). Option C incorrectly changes the coefficient of \(x^2\) to 1, while option D omits the constant term 9. Exam tip: Remove only zero-coefficient terms and retain the signs and all remaining terms unchanged.
Frequently asked questions
What is the correct answer to this question?
\(6x^3-2x+9\)
Why is this the correct answer?
A term with a zero coefficient can be omitted from a polynomial. Since \(0x^2=0\), the simplified polynomial is \(6x^3-2x+9\). Option C incorrectly changes the coefficient of \(x^2\) to 1, while option D omits the constant term 9. Exam tip: Remove only zero-coefficient terms and retain the signs and all remaining terms unchanged.
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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