If p(x)=4x, at which point does its graph intersect the x-axis?
Answer and explanation
Correct answer: (0,0)
To find the x-intercept set p(x)=0. With p(x)=4x we get 4x=0 ⇒ x=0, so y=p(0)=0 and the intersection point is (0,0). Option (4,0) is incorrect because p(4)=16 ≠ 0; (0,4) is impossible for an x-intercept since y must be 0. Exam tip: always solve p(x)=0 to get x-intercepts of a polynomial.
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What is the correct answer to this question?
(0,0)
Why is this the correct answer?
To find the x-intercept set p(x)=0. With p(x)=4x we get 4x=0 ⇒ x=0, so y=p(0)=0 and the intersection point is (0,0). Option (4,0) is incorrect because p(4)=16 ≠ 0; (0,4) is impossible for an x-intercept since y must be 0. Exam tip: always solve p(x)=0 to get x-intercepts of a polynomial.
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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