applez2948 applez2948
  • 08-08-2020
  • Mathematics
contestada

if (ax+b)(x-3) = 4x^2+cx-9 for all values of x, what is the value of c? a) -9 b) -6 c) 6 d) 9

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 08-08-2020

Answer:

c=-9

Step-by-step explanation:

Hello,

[tex](ax+b)(x-3)=ax(x-3)+b(x-3)=ax^2-3ax+bx-3b\\\\=ax^2+(b-3a)x+(-3b) \\\\\text{And it should be equal to } 4x^2+cx-9[/tex]

We can identify the like terms so:

a = 4

b-3a = c

3b = 9 <=> b = 3

So c = 3 - 3*4 = 3-12 = -9

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer Link

Otras preguntas

Which of the following represents the zeros of f(x) = x3 − 12x2 + 41x − 42? 7, −3, 2 7, −3, −2 7, 3, 2 7, 3, −2
A frog lays thousands of eggs because many eggs die. This behavior is an example of
What is 32/44 as a grade
What is not a basic function of a cell
Which equation models this problem? Colin divided his baseball card collection into 6 equal piles. He put the cards from 5 of the piles into albums. How many ca
How did the cotton gin lead to a rise in slavery?
what is the ratio of 9:45, 19:38, 24:40, 14:28, 8:20, 15:20, 9:15, 19:180, 18:27, 36:60, 12:30, 32:54, 13:65, 15:30, 12:15, 12:20.
Members of a political party share similar views on important issues.
the periodic table is based on an element's what
what was the country that controlled Florida at one time?