Given f(x)= 2x^3+kx-1, and x+1 is a factor of f(x), then what is the value of k?

Mathematics

2 answers:

VMariaS [17]2 years ago

5 0

Answer:

put x=-1, and the rest will be easy

4vir4ik [10]2 years ago

5 0

If x + 1 divides f(x), this means x = -1 is a root of f(x), i.e. f(-1) = 0. Plugging in x = -1 gives

f(-1) = 2 (-1)³ + k (-1) - 1 = -3 - k = 0

Solve for k; you end up with k = -3.

You might be interested in

ACT scores have a mean of 21.5 and 26 percent of the scores are above 24. The scores have a distribution that is approximately n

lutik1710 [3]

Answer:

Step-by-step explanation:

7 0

3 years ago

gracie and mary and nancy each have a small collection of seashells gracie has 5 more than 1 and 1/4 times the number of shells

Fiesta28 [93]

X = mary's shells
g = 1 1/4x + 5
n = 1 1/2x+ 1
g = n

1 1/4x + 5 = 1 1/2x + 1
5/4x + 5 = 3/2x + 1...multiply by common denominator of 4, this will get rid of fractions...however, this is optional...u can work with fractions if u wish.
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16....so Mary has 16 shells

6 0

3 years ago

Which statement best compares a line and a point

Volgvan

A line has 0 endpoints and extends forever in 2 directions and a point has 1 endpoint and extends forever in 0 directions.

6 0

3 years ago

Complete the table of inputs for the given function.

Alecsey [184]

Answer:

a. $x = \frac{3}{8}$