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Question
If p(x) = `x^2 - 2sqrt(2)x + 1`, find `"p"(2sqrt(2))`
Sum
Solution
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
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Roots of a Polynomial Equation
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Chapter 3: Algebra - Exercise 3.2 [Page 91]
