If a graph intersects the x-axis at \((-10,0)\) and \((0,0)\), what is the product of its zeroes?
Answer and explanation
Correct answer: 0
The zeros (roots) are the x-coordinates where the graph meets the x-axis: here they are \(-10\) and \(0\). Thus the product is \((-10)\times 0 = 0\). Option A (-10) is incorrect because it uses only one root; option D (100) is wrong — it seems to confuse absolute values or squaring. Exam tip: if one root is \(0\), the product of the roots is always \(0\).
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The zeros (roots) are the x-coordinates where the graph meets the x-axis: here they are \(-10\) and \(0\). Thus the product is \((-10)\times 0 = 0\). Option A (-10) is incorrect because it uses only one root; option D (100) is wrong — it seems to confuse absolute values or squaring. Exam tip: if one root is \(0\), the product of the roots is always \(0\).
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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