If \(p(6)=0\), at which point does the polynomial graph intersect the x-axis?
Answer and explanation
Correct answer: (6,0)
\(p(6)=0\) means the function value is zero at \(x=6\), so the graph meets the x-axis (where \(y=0\)) at the point \((6,0)\). The closest distractor \((-6,0)\) is a sign error — nothing in the given information implies \(p(-6)=0\). Exam tip: whenever you are given \(p(a)=0\), the corresponding x-intercept is always \((a,0)\).
Frequently asked questions
What is the correct answer to this question?
(6,0)
Why is this the correct answer?
\(p(6)=0\) means the function value is zero at \(x=6\), so the graph meets the x-axis (where \(y=0\)) at the point \((6,0)\). The closest distractor \((-6,0)\) is a sign error — nothing in the given information implies \(p(-6)=0\). Exam tip: whenever you are given \(p(a)=0\), the corresponding x-intercept is always \((a,0)\).
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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