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

Oversight and public education are examples of what type of Congressional functions?
What is one tenth greater than 7,000
Round 251031 to nearest thousand
Four more than twice a number is 8
How much heavier is a 9 1/8 pound box than a 2 5/6 pound box
If josie missed 20 questions how many did she get correct draw a tape diagram to demonstrate how found the answer
Which of these events MOST impacted the way Americans viewed the Middle East region a. Hurricane Katrina, 2005 b. the First Gulf War, 1990 c. the Fall of the
7 more than 3 times a number is 52
Identify the following group of words as an incomplete or complete sentence. If the sentence is incomplete, identify the reason Dinosaurs have disappeared a. c
describe a situation that could be modeled with the ratio 4: 1