What is the x-intercept of the graph of \(p(x)=3x+6\)?
Answer and explanation
Correct answer: (-2, 0)
An x‑intercept is the point where the function value is zero (y=0). Set \(p(x)=0\): \(3x+6=0\) gives \(x=-2\), so the intercept is \((-2,0)\). Option (2,0) is a sign error; (0,6) is the y‑intercept, and (0,-2) is incorrect for both coordinates. Exam tip: find x‑intercepts by solving the polynomial equal to zero.
Frequently asked questions
What is the correct answer to this question?
(-2, 0)
Why is this the correct answer?
An x‑intercept is the point where the function value is zero (y=0). Set \(p(x)=0\): \(3x+6=0\) gives \(x=-2\), so the intercept is \((-2,0)\). Option (2,0) is a sign error; (0,6) is the y‑intercept, and (0,-2) is incorrect for both coordinates. Exam tip: find x‑intercepts by solving the polynomial equal to zero.
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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