ruhikaambavaram ruhikaambavaram
  • 18-09-2021
  • Mathematics
contestada

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

Respuesta :

AlgebraicAardvark
AlgebraicAardvark AlgebraicAardvark
  • 18-09-2021

If x+1 is a factor of f(x), then x=-1 is a zero of f(x).  This means f(-1) = 0.

With k in the function,

   f(-1) = 3(-1)^3 + 2(-1) + k

          = -3 -2 + k

          = -5 + k

If that has to equal 0, then k = 5.

Answer Link

Otras preguntas

how is the prime factorization of 20 written using exponents?
Ellen wants to purchase a book that is regularly priced at $18. The book is discounted 15%. She also needs to pay a 6% sales tax on the discounted price. What i
what causes the the aliens to change their shape? a.light b.water c.temp
Change 1/50 to a decimal
The water level of the reservoir in Purcellville, Virginia was 2 feet below normal. After a heavy rainstorm, the water level increased to 5 feet above normal. W
3. the closeness of a measurment to its true value is a measure of its ____ ?
Which story’s character is an example of a hero’s quest archetype? A. Kiowa in "Ambush". B. Phoenix Jackson in "A Worn Path". C. Homer in "A Rose for
Find the midpoint between the points (5, 8) and (2, 7) on the coordinate plane. a) (7/2, 15/2) b) (7/2, 15) c) (7, 15) d) (6, 5)
which 1 of the following sentences contains a conjunction a. since it's Tuesday, you should carry out the trash. b. since Candace likes vanilla ice cream, pleas
Convert 3.4 miles to a fraction