Question

if p(x)=x² - 2√2x + 1, then find value of p(2√2).

Answer 1

• 1

Given :- p(x)=x² - 2√2x + 1

To Find :- The value of p(2√2) ?

Concept used :-

• The value of a polynomial can be calculated by substituting the variable with given number .

Solution :-

given polynomial is :-

→ p(x) = x² - 2√2x + 1

variable is :-

→ x

So, in order to find p(2√2), substituting x = 2√2 in the given polynomial p(x) we get,

→ p(2√2) = (2√2)² - 2√2•(2√2) + 1

→ p(2√2) = (2)²•(√2)² - (2×2)•(√2×√2) + 1

→ p(2√2) = 4•2 - 4•2 + 1

→ p(2√2) = 8 - 8 + 1

→ p(2√2) = 0 + 1

→ p(2√2) = 1 (Ans.)

Therefore, the value of given polynomial at 2√2 is equal to 1 .

Hence, The value of p(2√2) is equal to 1 .

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Answer 2

Step-by-step explanation:

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