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

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!