wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If the parabola represented by f(x) = ax2 + bx + c cuts x-axis at two distinct points, then the polynomial ax2 + bx + c has ________ real zeroes.

Open in App
Solution

Let f(x) = ax2 + bx + c

If f(x) has two real and distinct zeroes, the parabola represented by f(x) cuts x-axis at two distinct points.

If f(x) has two real and equal zeroes, the parabola represented by f(x) touches x-axis at only one distinct point.

Hence, if the parabola represented by f(x) = ax2 + bx + c cuts x-axis at two distinct points, then the polynomial ax2 + bx + c has 2 real zeroes.

flag
Suggest Corrections
thumbs-up
8
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Zeroes of a Polynomial concept
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon