Which option has zero \(\frac{7}{3}\) for a linear polynomial?
Answer and explanation
Correct answer: \(3x-7\)
A zero of a polynomial is a value of x that makes the polynomial equal to 0. For \(3x-7=0\), we get \(3x=7\), so \(x=\frac{7}{3}\). Hence, \(3x-7\) is correct. The close distractor \(3x+7\) has zero \(-\frac{7}{3}\), not \(\frac{7}{3}\). Exam tip: the zero of a linear polynomial \(ax+b\) is \(-\frac{b}{a}\).
Frequently asked questions
What is the correct answer to this question?
\(3x-7\)
Why is this the correct answer?
A zero of a polynomial is a value of x that makes the polynomial equal to 0. For \(3x-7=0\), we get \(3x=7\), so \(x=\frac{7}{3}\). Hence, \(3x-7\) is correct. The close distractor \(3x+7\) has zero \(-\frac{7}{3}\), not \(\frac{7}{3}\). Exam tip: the zero of a linear polynomial \(ax+b\) is \(-\frac{b}{a}\).
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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