Page 220 - aljaber

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qr ( ) p( ) q( ) −q ( )

r r r

f (2) = 5 f (x ) = ax 5 + bx 3 + cx + 8 ( )

11 ( ) 7( ) −7 ( ) f (−2)
.1
x −2 −11 ( )

f (x ) = ax 7 + bx 5 + cx 3 ( )

x2 − 4 f (x)

1x +1 ( ) 2x ( ) x( ) 1x ()

2 21x 2 + ax + 21 2

[AHSME 1951] ( )

a ( ) ()

() 0( )

21

x 4 + 64 [AHSME 1954] ( )
)
(x2 + 8 )2 ( )
(x2 − 4x + 8 )(x2 − 4x − 8 ) ( )
(x2 − 4x + 8 )(x2 + 4x + 8 ) ( )

(x2 + 8)(x2 − 8) ( )

3 x +1 f (x) (

x 2 − 2x + 3 7 x −3

5x ( ) 5x − 1 ( ) x +4 ( ) 5x − 3 ( )