Question

If
If p(x) = x2 – 2√2x+1, then p(2√2) is equal to​

Answer 1

Step-by-step explanation:

please mark it the brainliest answer

Answer 2

Given :-

p( x ) = x² - 2√2x + 1

To Find :-

Value of p( 2√2 )

Solution :-

⤳ p( x ) = x² - 2√2x + 1

⤳ p( 2√2 ) =  ( 2√2 )² - ( 2√2 × 2√2 ) + 1

⤳ p( 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

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•  Henceforth, p( 2√2 ) is equal to 1.

More to know :-

Value of a polynomial ::

• The value of a polynomial p( x ) at x = a is obtained by substituting x = a in p( x ) and is denoted by p( a ).

For example -

• If p( x ) = 2x² + 3

Then,

→ p( 3 ) = 2 × ( 3 )² + 3

→ p( 3 ) = 2 × 9 + 3

→ p( 3 ) = 18 + 3

→ p( 3 ) = 21

Basically, we had put x as 3 in this polynomial everywhere to get the required answer.