Question

FIND THE ZERO OF P(X) = (X-2) SQUARE - (N+2)SQUARE

Answer 1

Answer:

x = 0

Note:

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

★ In order to find the zeros of a polynomial p(x) , operate on p(x) = 0 .

Solution:

Here ,

The given polynomial is ;

p(x) = (x - 2)² - (x + 2)²

Now,

To find the zeros , let's equate the given polynomial to zero .

Thus,

=> p(x) = 0

=> (x - 2)² - (x + 2)² = 0

=> (x² - 4x + 4) - (x² + 4x + 4) = 0

=> x² - 4x + 4 - x² - 4x - 4 = 0

=> - 4x - 4x = 0

=> -8x = 0

=> x = 0/-8

=> x = 0

Hence, x = 0