If p(x) = (x-2)(x+5), at which points will its graph intersect the x-axis?
Answer and explanation
Correct answer: (2, 0) and (-5, 0)
The zeros come from setting each linear factor to zero: x-2=0 gives x=2 and x+5=0 gives x=-5. x-axis intercepts have coordinates (x,0), so the graph crosses at (2,0) and (-5,0). Option B simply reverses the signs; options C and D are not x-axis intercepts. Exam tip: set each factor equal to 0 and write the intercepts as (x,0).
Frequently asked questions
What is the correct answer to this question?
(2, 0) and (-5, 0)
Why is this the correct answer?
The zeros come from setting each linear factor to zero: x-2=0 gives x=2 and x+5=0 gives x=-5. x-axis intercepts have coordinates (x,0), so the graph crosses at (2,0) and (-5,0). Option B simply reverses the signs; options C and D are not x-axis intercepts. Exam tip: set each factor equal to 0 and write the intercepts as (x,0).
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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