emilyvasquez939 emilyvasquez939
  • 01-06-2020
  • Mathematics
contestada

Find the value of c (x-2) is a factor of the polynomial p(x). P(x)=x^3-4x^2+3x+c

Respuesta :

mhanifa
mhanifa mhanifa
  • 02-09-2020

Answer:

c = 2

Step-by-step explanation:

P(x)=x^3-4x^2+3x+c

The polynomial has x - 2 as a factor

Rewriting the polynomial as:

  • x^3-4x^2+3x+c =
  • x^3 - 2x^2 - 2x^2 + 4x - x + c =
  • x^2(x - 2) - 2x(x - 2) - (x - c)

As we see the first 2 terms have (x -2) as a factor, so the third term:

  • (x - c) =  (x - 2)
  • c=2

Answer is c= 2

Answer Link

Otras preguntas

What are abiotic factors of the enviroment lynx
What are abiotic factors of the enviroment lynx
What is 0.05 percent of 6.5?
The significance of the Open Door Policy for the United States lay in its (A) providing a use for the Philippines as a way station between China and the United
How many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per gallon?
The significance of the Open Door Policy for the United States lay in its (A) providing a use for the Philippines as a way station between China and the United
If it takes Mark twice as long to earn $6.00 as it takes Carl to earn $4.00, what is the ratio of Mark’s pay per hour to Carl’s pay per hour?
Which of the allies suffered the greatest losses on D-Day
What are abiotic factors of the enviroment lynx
what is the kingdom and phylum of a euglena protest?