If the x-intercepts of a graph are (0,0) and (d,0) with \(d\neq0\), what is the product of the zeros?
Answer and explanation
Correct answer: 0
The x-intercepts give the roots, so the zeros are 0 and d. Their product is \(0\times d=0\). Closest distractors: option A (d) is just one root, not the product; option D (d^2) arises from mistakenly multiplying d by d; option C (-d) has the wrong sign. Exam tip: whenever one root is 0, the product of the roots is immediately 0.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The x-intercepts give the roots, so the zeros are 0 and d. Their product is \(0\times d=0\). Closest distractors: option A (d) is just one root, not the product; option D (d^2) arises from mistakenly multiplying d by d; option C (-d) has the wrong sign. Exam tip: whenever one root is 0, the product of the roots is immediately 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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