If \(p(-6)=0\), which point lies on the graph?
Answer and explanation
Correct answer: \((-6,0)\)
\(p(-6)=0\) means the polynomial equals zero at \(x=-6\), so the graph has \(y=0\) when \(x=-6\). Hence the point \((-6,0)\) lies on the graph. Option B is wrong because it uses \(x=6\) instead of \(x=-6\). Options C and D are y‑intercepts (x=0) and do not represent a zero of the polynomial. Exam tip: a root/zero \(p(a)=0\) corresponds to the x‑intercept \((a,0)\).
Frequently asked questions
What is the correct answer to this question?
\((-6,0)\)
Why is this the correct answer?
\(p(-6)=0\) means the polynomial equals zero at \(x=-6\), so the graph has \(y=0\) when \(x=-6\). Hence the point \((-6,0)\) lies on the graph. Option B is wrong because it uses \(x=6\) instead of \(x=-6\). Options C and D are y‑intercepts (x=0) and do not represent a zero of the polynomial. Exam tip: a root/zero \(p(a)=0\) corresponds to the x‑intercept \((a,0)\).
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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