luczac11 luczac11
  • 08-04-2022
  • Mathematics
contestada

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

Respuesta :

darko72
darko72 darko72
  • 08-04-2022

Answer:

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

Answer Link
LammettHash
LammettHash LammettHash
  • 08-04-2022

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.

Answer Link

Otras preguntas

What is the range of the function in the graph?
reflect the point (a) a-axis, and (b) in the y-axis (2 1/2,4)
Circle the fraction that makes each comparison true. Show your work by making equivalent fractions with common denominator. 3/4>5/6
Solve the inequality 2c/3+1>7​
8. Chocolates bought at 5 for £6 are sold at 2 for £3, find: (i) The cost price of each chocolate (ii) The selling price of each chocolate (iii) The profit or l
PLS PLS HELPPPPPPPP WILL GIVE BRAINEST!!!! a increased by 25%
How does Fortinbras's perspective affect his treatment of Hamlet at the end of the play?
If 2(x+5) = k and k= 4, what is the value of x?
Find the "density" of a copper sample whose mass is 134.4 grams and whose volume is 15.0mL Group of answer choices 2016 g/mL 0.112 g/mL 2.74g/mL 8.96 g/mL
What war tactic germany the ability to overcome the soviet troops