Question

11. Draw the rough sketch of graph of a polynomial that has three distinct zeroes alpha, beta, gemma and two repeated zeroes alpha.

Standard:- 10

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Answer 1

Hey!!!!

Difficulty Level : Out of Course

Chances of being asked in Board : 0%

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Graph of cubic polynomial is not in course

Understanding : The graph will touch x axis thrice (3 times).

Refer to the attachment

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Hope this helps ✌️

Answer 2

Hey there !

Solution :

Let the cubic polynomial be ax³ + bx² + cx + d = 0

We know the rule that, if zeros contain a single equation two times, it has 2 equal roots. 

Example : If zeros are of the form : ( x - 2 )² and ( x + 1 ). Then X has two equal roots as there is a whole square.

So let the equation be : x³  - 3x² + 4

Here I have derived the equation for the zeros used as examples.

Hence there will be two distinct zeros but three in total.

So the graph for the above equation would be as it is the attachment.

Refer to it. 

Hope my answer helped :-)