grockelarap70kix grockelarap70kix
  • 11-04-2018
  • Mathematics
contestada

How do I solve for a, b and c?

How do I solve for a b and c class=

Respuesta :

Аноним Аноним
  • 11-04-2018
Firstly expand (x - 3)(ax^2 + bx + c):
ax^3 + bx^2 + cx - 3ax^2 - 3bx - 3c

Now rearrange it so that it's in the form ax^3 + bx^2 + cx + d:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c

Now we can compare both equations:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c = 2x^3 - x^2 - 19x + 12

We get:
(1) a = 2
(2) b - 3a = -1
(3) c - 3b = -19
(4) -3c = 12

If we substitute (1) into (2) we get:
b - 3*2 = -1
b - 6 = -1
b = 5

Now if we solve (4) we get:
-3c = 12
c = -4

Therefor a = 2, b = 5 and c = -4
Answer Link

Otras preguntas

Give Reason Grids are Useful​
Which culture was known for creating large piles of earth in different shapes? ---------------------------------------------------answers-----------------------
How to get 14 using four fours
what fears were raised during the early period of federal discussion in Nepal?​
a car is running in the straight line and covered a distance 70 km in 1hr​. velocity find
what is 40-32divited by8=5x-2
define the term gene mutation​
If three plants grew to 20 cm, 25 cm and 15 cm, what would be the average height of the plants?
The Olympic Games have been going on since last Monday. What's the negative sentence of it?
which one of the following phases best fits the productivity equation? A. persons from varied backgrounds working together to try to do their job well B. refus