A student saw the y-axis intercept (0,8) and took 8 to be a zero (root) of the polynomial. What is the correct correction?
Answer and explanation
Correct answer: It is not a zero because \(y \neq 0\)
A root (zero) of a polynomial is an x-value for which the polynomial evaluates to 0, i.e. the graph meets the x-axis. At (0,8) the value is 8, not 0, so this point does not indicate a zero. Option B is misleading because x=0 alone doesn't guarantee a root—only if f(0)=0. Exam tip: to identify roots check that the y-coordinate (or f(x)) equals 0, not merely the x- or y-intercept label.
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What is the correct answer to this question?
It is not a zero because \(y \neq 0\)
Why is this the correct answer?
A root (zero) of a polynomial is an x-value for which the polynomial evaluates to 0, i.e. the graph meets the x-axis. At (0,8) the value is 8, not 0, so this point does not indicate a zero. Option B is misleading because x=0 alone doesn't guarantee a root—only if f(0)=0. Exam tip: to identify roots check that the y-coordinate (or f(x)) equals 0, not merely the x- or y-intercept label.
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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