Question

Find the zero of polynomial:

(1) (x-2)sq - (x+2)sq

Answer 1

Answer:

The zero of the polynomial is 0.

Step-by-step explanation:

Zero of a polynomial is value of x at which the polynomial is equal to zero.

To find the zeroes of a polynomial we have to equate that polynomial with zero.

So we will get,

(x-2)² - (x+2)² = 0

Applying the identity a²-b² =(a-b)(a+b)

Here, a = (x-2)

b = (x+2)

[(x-2)-(x+2)][(x-2)+(x+2)] = 0

[x-2-x-2][x-2+x+2] = 0

[-4][2x] = 0

-8x = 0

x = 0

Therefore the value of x at which the polynomial is equal to zero is 0.

Hence the zero of the polynomial is 0.

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