If the graph shows the point (-8, 0), for which value of x does the polynomial equal zero?
Answer and explanation
Correct answer: x = -8
The point (-8, 0) means y = 0 when x = -8. Since the polynomial's value is y, the polynomial is zero at x = -8 (i.e. f(-8)=0). Option B (x = 8) has the wrong sign; option C (x = 0) would be correct only for the point (0,0); option D is unrelated. Exam tip: an x-intercept (y=0) gives the root directly as the x-coordinate shown.
Frequently asked questions
What is the correct answer to this question?
x = -8
Why is this the correct answer?
The point (-8, 0) means y = 0 when x = -8. Since the polynomial's value is y, the polynomial is zero at x = -8 (i.e. f(-8)=0). Option B (x = 8) has the wrong sign; option C (x = 0) would be correct only for the point (0,0); option D is unrelated. Exam tip: an x-intercept (y=0) gives the root directly as the x-coordinate shown.
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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