The zero of the polynomial is the number of times the graph of the polynomial intersects the x-axis. Why??

Open in App

Solution

Dear student,

$Y e s, t h e z e r o o f t h e p o l y n o m i a l i s t h e n u m b e r o f t i m e s t h e g r a p h o f t h e p o l y n o m i a l i n t e r s e c t s t h e x - a x i s C o n s i d e r a p o l y n o m i a l y = a x^{2} + b x + c Z e r o e s o f p o l y n o m i a l a r e t h e v a l u e s o f x f o r w h i c h y = 0 S i n c e y = 0 m e a n s t h e x - a x i s H e n c e a n y t i m e w h e n e v e r y = 0 o r p o l y n o m i a l i n t e r s e c t t h e x - a x i s t h a t w i l l b e t h e z e r o e s o f p o l y n o m i a l .$

Regards

Suggest Corrections

Similar questions

y = p x^{3} + q x^{2} + r x + s

2 x

How many time, graph of the polynomial $f (x) = x^{3} - 1$ will intersect $x -$ axis.

Join BYJU'S Learning Program