In which option is the difference of two linear polynomials the zero polynomial?
Answer and explanation
Correct answer: \(2x+3\) and \(2x+3\)
In option A, both polynomials are identical, so their difference is \((2x+3)-(2x+3)=0\). Hence, the result is the zero polynomial. In option B, the difference is \(6\), not zero. Exam tip: For the difference of two polynomials to be zero, the coefficients of their corresponding terms must be equal.
Frequently asked questions
What is the correct answer to this question?
\(2x+3\) and \(2x+3\)
Why is this the correct answer?
In option A, both polynomials are identical, so their difference is \((2x+3)-(2x+3)=0\). Hence, the result is the zero polynomial. In option B, the difference is \(6\), not zero. Exam tip: For the difference of two polynomials to be zero, the coefficients of their corresponding terms must be equal.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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