Question

Zero of the polynomial p(x)=(x-4)^ 2 - (x + 4) ^ 2 * is :

Answer 1

`\tt \: 0 \: is \: the \: zero \:of \: {(x - 4)}^(2) - {(x + 4)}^(2) \\`

Explanation:

Given polynomial is

`\tt \: {(x - 4)}^(2) - {(x + 4)}^(2) \\`

`\tt \: = \: (x - 4 + x + 4)(x - 4 - x - 4) \\`

`\tt \: = \: (2x)( - 8) \\`

`\tt \: = \: - 16x \\`

`\tt \: \implies {(x - 4)}^(2) - {(x + 4)}^(2) = \: - 16x \\`

To find zeroes of the polynomial, we substitute

`\tt \: - 16x = 0 \\`

`\tt \: \implies \: x = 0 \\`