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The graph of a quadratic polynomial is a parabola which cuts the X- axis at
- a)four points
- b)at most three points
- c)at most two points
- d)one point only
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The graph of a quadratic polynomial is a parabola which cuts the X- ax...
Explanation:
Answer: Option C (at most two points)
- A quadratic polynomial is an expression in the form of ax²+bx+c, where a, b, and c are constants and a is not equal to zero.
- The graph of a quadratic polynomial is a parabola.
- A parabola is a U-shaped curve that can either be facing upwards or downwards depending on the sign of a.
- When a parabola intersects the x-axis, it means that the value of y is equal to zero at that point.
- To find the x-intercepts of a parabola, we need to set y=0 and solve for x.
- The number of x-intercepts a parabola has depends on the discriminant of the quadratic equation.
- The discriminant is the part of the quadratic formula under the square root sign, which is b²-4ac.
- If the discriminant is positive, then the quadratic equation has two real roots, which means that the parabola intersects the x-axis at two points.
- If the discriminant is zero, then the quadratic equation has one real root, which means that the parabola intersects the x-axis at one point.
- If the discriminant is negative, then the quadratic equation has no real roots, which means that the parabola does not intersect the x-axis.
- Therefore, the graph of a quadratic polynomial can intersect the x-axis at most two points.
Answer: Option C (at most two points)
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The graph of a quadratic polynomial is a parabola which cuts the X- ax...
Becoz quadratic equation has only two zeores so it cuts at most 2 points in parabola if it is linear it cuts only one point it depends on the type of equation and number of zeroes it has.
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