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

What is the repurchase of shares procedure
One result of the loss of the opium war was that China was
Born in San Juan, Puerto Rico, Pepon Osorio moved to New York to be a social worker and became an artist. What was the inspiration behind his ornate, elaborate
What were Gorbechev’s economic reform efforts called?
En Nicaraqua...? A. hay menos turistas que Costa Rica. Es un lugar para relajarse. B. muchas personas viven en el jesierto que cubre mucho del país. C. es impor
Which expression is equivalent to -1? A) - x + y x - y B) - x - y -x + y C) - x - y -x - y D) - x + y -x + y
How do you find the steepness on a graph?
given a circle with a 8" radius find the area of the smaller segment whose chord is 8" long
Keratin has a square tile.the perimeter of the tile is 32 inches.what is the length of each side of the tile?
In "The Fiery Furnace," why does the Babylonian king give Shadrach, Meshach, and Abednego even greater power and order others to respect their beliefs after the