anishi1216 anishi1216
  • 02-06-2022
  • Mathematics
contestada

Is x + 3 a factor of P(x) = x³ - 5x² + 3x + 9 ? Explain.​

Respuesta :

jimrgrant1 jimrgrant1
  • 02-06-2022

Answer:

no

Step-by-step explanation:

using the Factor theorem.

If (x + h) is a factor of f(x) then f(- h) = 0

for factor (x + 3) then evaluate P(- 3)

P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72

since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)

Answer Link

Otras preguntas

Serena is considering buying a more fuel-efficient car to decrease her gasoline usage. Her current car gets 23 miles per gallon (mpg) on the highway and 15 mpg
You want to limit the amount of television you watch to an average of at most 1.5 hours per week during an 8-week period. how many hours xx of television must y
A mixture contains forty ounces of glycol and water and is ten percent glycol. If the mixture is to be strengthened to twenty-five percent, how much glycol is t
How many ounces are in 50 pounds?
What is the purpose of reading non-fiction in an English class? Pick two pieces of non-fiction you have read in the past, describe the non-fiction, and explain
What kind of wave can pass through a vaccum?
Raconter une histoire drole
Combine the like terms to make a simpler expression: 8r+7−6r−5
can someone help please
The concession stand is selling hot dogs and hamburgers at a game. At halftime, they sold a total of 78 hot dogs and hamburgers and brought in $105.50. How many