If the graph of \(p(x)=x-4\) intersects the x-axis, what is the zero (root) of this polynomial?
Answer and explanation
Correct answer: 4
A zero (root) is an x-value where the polynomial equals zero. Set \(p(x)=0\): \(x-4=0\) gives \(x=4\). Thus the graph meets the x-axis at \(x=4\). The nearest distractor \(-4\) is incorrect because \(p(-4)=-4-4=-8\), not zero. Exam tip: to find zeros, always solve \(p(x)=0\) directly rather than inspecting coefficients.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
A zero (root) is an x-value where the polynomial equals zero. Set \(p(x)=0\): \(x-4=0\) gives \(x=4\). Thus the graph meets the x-axis at \(x=4\). The nearest distractor \(-4\) is incorrect because \(p(-4)=-4-4=-8\), not zero. Exam tip: to find zeros, always solve \(p(x)=0\) directly rather than inspecting coefficients.
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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