Question

Factor: 4x2 + 12x + 9

Answer 1

check to see if there is a gcf in this case
its 1

Answer 2

you just look at the factors of 4 and 9 and see if any combination of them will get you 12

Answer 3

4 and 3 will get me 12 but 9 is prime so what do I do now ?

Answer 4

so you would use the Ac method or Decomposition
a=4x^2,c=9
36
what number adds up to 12 and when multiplied =36
in this case its 6 and 6 so it would be like this
(4x^2+6x) ( 6x+9)
2x(2x+3) 3(2x+3)

Answer 5

my bad sorry mistake

Answer 6

Actually, you can use the identity \((a+b)^2 = a^2 + 2ab+b^2\) to do it.
4x^2 + 12x + 9
= (2x)^2 + 2(2x)(3) + 3^2
= ...?

Answer 7

can any1 answer my questions

Answer 8

http://openstudy.com/study#/updates/502c6819e4b0e2b3504b8b1f

Answer 9

@RolyPoly its only true in this case

Answer 10

Yes. But if it is applicable in this case, why not use this identity?

Answer 11

im trying to finsih already
this is the last test for me

Answer 12

Factor: 4x^2 + 12x + 9

A (2x + 3)2
B (4x + 9)(x + 1)
C (2x + 1)(2x + 9)
D (2x + 3)(2x - 3)

Answer 13

@SPC Which part you don't understand?

Answer 14

I dont understand how you got your answer.

Answer 15

A

Answer 16

How to Factor step by step: x^2 - 28x + 75

A (x - 14)(x - 14)
B (x - 5)(x - 15)
C (x - 3)(x - 25)

Answer 17

4x^2 + 12x + 9
Consider the first term,
4x^2 = \(2^2x^2\) = \((2x)^2\)

Consider the second term,
12x = 2(2x)(3)

Consider the last term,
9 = 3^2

Now, think about the identity for perfect square,
\((a+b)^2 = a^2 + 2ab+b^2\)
Match the corresponding a and b to get your answer.