Question

If p(x) = `x^2 - 2sqrt(2)x + 1`, find `"p"(2sqrt(2))`

Answer 1

p(x) = `x^2 - 2sqrt(2)x + 1`

`"p"(2sqrt(2)) = (2sqrt(2))^2 - 2sqrt(2) (2sqrt(2)) + 1`

= 4 × 2 – 4 × 2 + 1

= 8 – 8 + 1

= 0 + 1

= 1