If \(p(12)=0\), how will \(12\) appear on the graph?
Answer and explanation
Correct answer: The graph will cut or touch the x-axis at \(x=12\)
\(p(12)=0\) means the polynomial's value at \(x=12\) is zero, so the point \((12,0)\) lies on the graph. Hence the graph meets the x-axis at \(x=12\). Note: whether it cuts or just touches depends on the root's multiplicity (odd → cuts, even → touches). Exam tip: for any root \(a\) with \(p(a)=0\), check the point \((a,0)\) on the graph to locate the intersection with the x-axis.
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What is the correct answer to this question?
The graph will cut or touch the x-axis at \(x=12\)
Why is this the correct answer?
\(p(12)=0\) means the polynomial's value at \(x=12\) is zero, so the point \((12,0)\) lies on the graph. Hence the graph meets the x-axis at \(x=12\). Note: whether it cuts or just touches depends on the root's multiplicity (odd → cuts, even → touches). Exam tip: for any root \(a\) with \(p(a)=0\), check the point \((a,0)\) on the graph to locate the intersection with the x-axis.
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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