jazzymay48p60vxq jazzymay48p60vxq
  • 03-10-2019
  • Mathematics
contestada

which of the following is the factored for of the expression below 4x^2+12x+9

Respuesta :

alfredtamba1499
alfredtamba1499 alfredtamba1499
  • 03-10-2019

Step-by-step explanation:

to solve this problem, multiply the a and the c. In this problem, a is 4 and c is 9

4(9) =36

what two numbers multiply to get 36 and then add up to get b which is 12.

6 (6)

write the new value in the equation as b

4x^2 + 6x + 6x + 9

Now that you have four numbers, split the equations

(4x^2 + 6x) + (6x + 9)

take out the common factors

2x( 2x +3) + 3 (2x +3)

(2x + 3) ( 2x + 3 )

Since the solutions are the same

we write it as

( 2x +3) ^2

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