khushimishra khushimishra
  • 21-05-2019
  • Mathematics
contestada

Without actual division show that f(x) = (x3 − 3x2 − 13x + 15) is exactly divisible by g(x) = (x2 + 2x − 3).

Respuesta :

jimrgrant1 jimrgrant1
  • 21-05-2019

Answer:

see explanation

Step-by-step explanation:

Note that the sum of the coefficients of g(x)

1 + 2 - 3 = 0

Hence x = 1 is a root of g(x) and (x - 1) is a factor

Note the sum of the coefficients of f(x)

1 - 3 - 13 + 15 = 0

hence x = 1 is a root of f(x) and (x - 1) is a factor

Since (x - 1) is a factor of both

Then f(x) is also divisible by x² + 2x - 3

Answer Link

Otras preguntas

Help me due tomorrow!! Solve for x
What is 11/15 as a repeating decimal
the purpose of domestic waste​
when someone hits you what hits you first? the hand or the air?
simplify by combining like terms: -3 + 6x - 18 - 22x
PLEASE HELP Why was the land in the Middle Colonies attractive to immigrants? O A. It offered ideal conditions for commerce. O B. It offered poor soil for farmi
I need an answer for question 16. I currently have 24 + 4 = 24n + 4 but I’d like to know if i’m on the right track and what I need to do to solve the question
add 3 2/7 and 4 3/7 then from their sum subtract 5 9/14 please show the work
percent change from 100 to 160​
The most common pedals found in a vehicle are _________. A. accelerator, brake, and silencer B. radio, steering wheel, and mirrors C. accelerator, brake, and