Question

find the zeroes of cubic polynomial p(x) =x square - x cube​

Answer 1

Answer:

x = 0 , 0 , 1

Note:

★ The possible values of the variable for which the polynomial becomes zero are called its zeros .

★ A cubic polynomial can have atmost three zeros .

★ To find the zeros of a polynomial , equate it to zero and find the values of x .

Solution:

Here,

The given polynomial is ;

p(x) = x² - x³

Now,

In order to find the zeros of the given polynomial p(x) , let's operate on p(x) = 0 .

Thus,

=> p(x) = 0

=> x² - x³ = 0

=> x²(1 - x) = 0

=> x = 0 , 0 , 1

Hence,

The required answer is ;

x = 0 , 0 , 1