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

If someone received cash 2 700 for sold goods, which journal account should be created?
__________ were peasants who worked land for a lord in medieval Europe. a. Vassals b. Serfs c. Fiefs d. Knights
Help me please………………………
Need help please help please please please please
writie any assay about challenges of teaching mathematics on 21st century​
What was the artist El Greco known for?
S. Wang and T. Wu are partners with equal capital balances of $50,000 each. They agree to let J. Li invest $20,000 in their partnership for a 10% interest, incl
How does latitude affect a climate zone? A. Climate zones at high latitudes are cooler because they are closer to the equator. B. Climate zones at high latitude
Probability that student was male or got an “B”
what all precautions and things do we need to follow if we travel by 1. a train 2. a bus 3. a boat 4. a motorbike 5. on foot ( for example a trek)