princesspaul16 princesspaul16
  • 13-01-2019
  • Mathematics
contestada

If p(x)=2x^3+cx^2+16x+84 and x+2 is a factor of p(x),find the value of c.

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-01-2019

Answer:

c = -9

Step-by-step explanation:

Knowing that -2 is a root, you can do the synthetic division with an unknown value for c. Then solve for the value of c that makes the remainder be zero. See the attachment for the work.

The second attachment shows that (x+2) is a factor of the resulting cubic.

Ver imagen sqdancefan
Ver imagen sqdancefan
Answer Link

Otras preguntas

conclusion: the last part what is the root word of conclusion
NEEED HELP!! Which statement accurately describes the illustration? Thank you!
Kellans neighbor went out of town for 9 days. Each day her neighbor was gone, kellan earned $7 for walking her neighbors dog and $2 for watering her neighbors p
2x-4y=10 Solve for x and graph
Mark had lived in a small City for all of his life in local people thought of him as a solid citizen. In this sentence the word solid most likely means? A. popu
Which is the most reasonable unit to measure a small glass of grapefruit juice?
Blood pressure is considered high if it stays at _ or higher
In an electrolytic cell, anions move from the _______ and cations move from the _______. A. cathode to the anode; anode to the cathode B. anode to the cathode;
__________ are the first line of defense against unsafe drivers.
The quotient of 5i and 2 − i