If the x-intercepts of a polynomial graph are (-4,0), (1,0) and (6,0), what is the set of zeroes?
Answer and explanation
Correct answer: {-4,1,6}
A zero (root) of a polynomial is the x-coordinate where the graph meets the x-axis (y=0). From the intercepts (-4,0), (1,0), (6,0) the x-values are -4, 1 and 6, so the set of zeroes is {-4,1,6}. The closest distractor C mixes a y-value (0) into the set in place of 1; remember 0 in the ordered pair is the y-coordinate, not a root by itself. Exam tip: read off only the x-coordinates of x-intercepts to list zeroes.
Frequently asked questions
What is the correct answer to this question?
{-4,1,6}
Why is this the correct answer?
A zero (root) of a polynomial is the x-coordinate where the graph meets the x-axis (y=0). From the intercepts (-4,0), (1,0), (6,0) the x-values are -4, 1 and 6, so the set of zeroes is {-4,1,6}. The closest distractor C mixes a y-value (0) into the set in place of 1; remember 0 in the ordered pair is the y-coordinate, not a root by itself. Exam tip: read off only the x-coordinates of x-intercepts to list zeroes.
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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