A graph has x-axis intercepts (a,0), (b,0), (c,0). Which statement is correct?
Answer and explanation
Correct answer: The zeroes are \(a,b,c\)
An x-axis intercept (x,0) means the function value is zero at that x, so the x-coordinates a, b, c of (a,0), (b,0), (c,0) are the zeroes. Option A is wrong because (0,0,0) does not represent the three x-values a, b, c. Option C is false since (a+0)=a (and similarly for b, c), so writing (a+0,b+0,c+0) is equivalent to (a,b,c). Option D is wrong because all three a, b and c are zeroes, not just c. Exam tip: whenever you see an intercept (p,0), the zero of the polynomial/function is p (the x-coordinate).
Frequently asked questions
What is the correct answer to this question?
The zeroes are \(a,b,c\)
Why is this the correct answer?
An x-axis intercept (x,0) means the function value is zero at that x, so the x-coordinates a, b, c of (a,0), (b,0), (c,0) are the zeroes. Option A is wrong because (0,0,0) does not represent the three x-values a, b, c. Option C is false since (a+0)=a (and similarly for b, c), so writing (a+0,b+0,c+0) is equivalent to (a,b,c). Option D is wrong because all three a, b and c are zeroes, not just c. Exam tip: whenever you see an intercept (p,0), the zero of the polynomial/function is p (the x-coordinate).
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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