If the line \(y=2x-6\) cuts the x-axis, what is the zero of the corresponding linear polynomial?
Answer and explanation
Correct answer: 3
A point on the x-axis has \(y=0\). So set \(2x-6=0\), giving \(2x=6\) and \(x=3\). Hence the zero is 3. The option -3 arises from a sign or arithmetic mistake; 6 or -6 are values of y (the y-intercept is -6), not the x-intercept. Exam tip: to find the zero of a linear polynomial from its line, always put \(y=0\) and solve for x.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
A point on the x-axis has \(y=0\). So set \(2x-6=0\), giving \(2x=6\) and \(x=3\). Hence the zero is 3. The option -3 arises from a sign or arithmetic mistake; 6 or -6 are values of y (the y-intercept is -6), not the x-intercept. Exam tip: to find the zero of a linear polynomial from its line, always put \(y=0\) and solve for x.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Geometrical meaning of the zeroes of a polynomial..
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