A table gives p(-4) = −2, p(-1) = 0, p(3) = 0, p(6) = 5. What is the product of the polynomial's zeroes from these values?
Answer and explanation
Correct answer: -3
Zeros of the polynomial are the x-values where p(x)=0. From the table p(-1)=0 and p(3)=0, so the zeros are -1 and 3. Their product is (-1)×3 = −3. Option B (3) ignores the sign; options C and D are incorrect because p(6) and p(-4) are not zero (p(-4)=−2, p(6)=5). Exam tip: only use x-values that satisfy p(x)=0 when identifying roots.
Frequently asked questions
What is the correct answer to this question?
-3
Why is this the correct answer?
Zeros of the polynomial are the x-values where p(x)=0. From the table p(-1)=0 and p(3)=0, so the zeros are -1 and 3. Their product is (-1)×3 = −3. Option B (3) ignores the sign; options C and D are incorrect because p(6) and p(-4) are not zero (p(-4)=−2, p(6)=5). Exam tip: only use x-values that satisfy p(x)=0 when identifying roots.
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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