Question

Find the zeros of the following

Answer 1

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13 ) Go...

`f(x) = {x}^(2) - 2x`

`0 = {x}^(2) - 2x`

`{x}^(2) - 2x = 0`

Factor x

`x(x - 2) = 0`

`x = 0 \: \: \: or \: \: \: x - 2 = 0`

`x = 0 \: \: \: \: or \: \: \: \: x = 2`

These are the zeroes.

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14 ) Go...

`f(x) = {x}^(3) + 9x + 11x - 21`

`0 = {x}^(3) + 9 {x}^(2) + 11x - 21`

`{x}^(3) + 9 {x}^(2) + 11x - 21 = 0`

`(x - 1)(x + 3)(x + 7) = 0`

`x - 1 = 0 \: \: or \: \: x + 3 = 0 \: \: or \: \: x + 7 = 0 \\`

`x = 1 \: \: \: or \: \: \: x = - 3 \: \: \: or \: \: \: x = - 7 \\`

These are the zeroes.

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