If \(p(x)=x^2-ex\), what are the x-axis intercepts (x-intercepts) of its graph?
Answer and explanation
Correct answer: (0,0) and (e,0)
Factorize: \(x^2-ex=x(x-e)\). x-axis intercepts occur at x-values where the polynomial equals zero. Thus x=0 and x=e give intercepts \((0,0)\) and \((e,0)\). The closest distractor (option B) is wrong because it uses \(-e\) instead of \(+e\); sign matters when solving \(x-e=0\). Exam tip: always factor out the common factor first and set each factor to zero to find x-intercepts.
Frequently asked questions
What is the correct answer to this question?
(0,0) and (e,0)
Why is this the correct answer?
Factorize: \(x^2-ex=x(x-e)\). x-axis intercepts occur at x-values where the polynomial equals zero. Thus x=0 and x=e give intercepts \((0,0)\) and \((e,0)\). The closest distractor (option B) is wrong because it uses \(-e\) instead of \(+e\); sign matters when solving \(x-e=0\). Exam tip: always factor out the common factor first and set each factor to zero to find x-intercepts.
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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