If a graph intersects the x-axis at (-5, 0) and (5, 0), what is the product of those zeroes?
Answer and explanation
Correct answer: -25
The x-coordinates of the x-intercepts are the zeroes of the polynomial, here −5 and 5. Their product is (−5)×5 = −25. Option B (25) ignores the negative sign; A (0) would be correct only if one root were 0; D (10) is not the product. Exam tip: always account for signs when multiplying roots — opposite signs give a negative product.
Frequently asked questions
What is the correct answer to this question?
-25
Why is this the correct answer?
The x-coordinates of the x-intercepts are the zeroes of the polynomial, here −5 and 5. Their product is (−5)×5 = −25. Option B (25) ignores the negative sign; A (0) would be correct only if one root were 0; D (10) is not the product. Exam tip: always account for signs when multiplying roots — opposite signs give a negative product.
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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