If the graph of a polynomial crosses the x-axis at (-7,0) and (2,0), what is the product of its zeros?
Answer and explanation
Correct answer: -14
The x-intercepts are the zeros of the polynomial; here the zeros are -7 and 2. Product = (-7) × 2 = -14. The closest incorrect choice 14 ignores the negative sign; always track signs when multiplying zeros. Exam tip: use the x-coordinates of the intercepts as the zeros and include their signs when computing product or sum.
Frequently asked questions
What is the correct answer to this question?
-14
Why is this the correct answer?
The x-intercepts are the zeros of the polynomial; here the zeros are -7 and 2. Product = (-7) × 2 = -14. The closest incorrect choice 14 ignores the negative sign; always track signs when multiplying zeros. Exam tip: use the x-coordinates of the intercepts as the zeros and include their signs when computing product or sum.
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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