danaebaby11 danaebaby11
  • 23-04-2020
  • Mathematics
contestada

3x^3-2x^2-147x+98=(ax-c)(bx+d)(bx-d) where a,b,c and d positive integers. Work out the value of a,b,c and d

Respuesta :

LammettHash
LammettHash LammettHash
  • 24-04-2020

Expand the right side:

[tex](ax-c)(bx+d)(bx-d)=(ax-c)(b^2x^2-d^2)[/tex]

[tex]=ab^2x^3-b^2cx^2-ad^2x+cd^2[/tex]

Notice that 98 = 2 * 7 * 7, so we have [tex]c=2[/tex] and [tex]d=7[/tex].

Then

[tex]-ad^2=-147\implies a=\dfrac{147}{49}=3[/tex]

and

[tex]ab^2=3\implies b^2=1\implies b=1[/tex]

Answer Link

Otras preguntas

If the total cost is E1000 and the average fixed cost is E15 when 20 units of output are produced, then the average variable cost at that level of output is the
Is (-3, 1) a solution to this system of inequalities? 5x + 5y ≤ -19 10x 16y < 1 yes or no
(b) Explain ONE way that Samantha could separate the titanium dioxide from the liquid?
sources of local government​
If x = − 6 and y = 2 , evaluate the following expression: 2 ( y − 3 x y )
A web page is taking too long to load. It contains only a small amount of text and two images. Choose all items that represent possible causes. large font size
What caused the Chinese to keep close control over contact with Europeans? Will give brainliest.
Solve for x -5x+3(x+5)=11 Simplify your answer as much as possible
Francis works and earns $3437 dollars but on a pay stub pays 42% to tax. What is the sales Tax?
1pt Which statement best explains the significance of location to Ghana, Mali, and Songhai? O A. It permitted them to prosper as a result of proximity to import