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

What is the 185th digit in the following pattern 12345678910111213141516...
What is 32/10 as a whole or mixed number in simplest form?
help please 10 points
Qabbani, Nizar. "Love Compared.". Which statement describes this poem best? a.The poem is an example of a modern sonnet. b. The poem uses parody and iambic pen
What is a verb please tell me
How did the lives of colonial children affect children today? Most modern schools use a fall to spring school calendar because colonial children had to farm dur
Define Bernoulli's principle
The master family financed a computer that cost $1200. If the interest rate is 19%.how much will the family owe for the computer after one month if no payments
In what part of nonfiction book will you most likely find the name of the chapter
What led to the decline of the Gupta Empire?