Find a number c such that the polynomial
p(x) = -x + 4x2 + cx3 - 8x4
has a zero at x =1/4

c = 2

Step-by-step explanation:

Since the polynomial has a zero at x = , then p( ) = 0, then

p( )

- + 4( )² + c( )³ - 8 = 0

- + 4( ) + c( ) - 8( ) = 0

- + + - = 0 , simplifying gives

- = 0 ( add to both sides )

= ( multiply both sides by 64 )

c = 2

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