If a graph touches the x-axis at (11, 0) and crosses it at (-6, 0), what is the product of the zeroes of the polynomial?
Answer and explanation
Correct answer: -66
A touching point is still a zero, so the zeroes are 11 and −6. Their product is 11 × (−6) = −66. The closest distractor 66 fails because it ignores the negative sign. Exam tip: "touches" means the x-value is a root (often with even multiplicity), but for product you simply multiply the zeros with their signs.
Frequently asked questions
What is the correct answer to this question?
-66
Why is this the correct answer?
A touching point is still a zero, so the zeroes are 11 and −6. Their product is 11 × (−6) = −66. The closest distractor 66 fails because it ignores the negative sign. Exam tip: "touches" means the x-value is a root (often with even multiplicity), but for product you simply multiply the zeros with their signs.
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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