Please Help Me With My Homework , (Please Show Your Work )

Please help me with my homework
(please show your work )

Hello there! I will only choose some questions and you will do the rest of the questions I have not answered.

Just follow what I did, alright?

3. $4 {x}^{2} + 12x + 8 = 0$

First get the greatest common factor. And that is 4. We have divided the greatest common factor from the factors.

$4( {x}^{2} + 3x + 2) = 0$

We will now use the factoring method; but 4 will remain.

$4(x + 2)(x + 1) = 0$

There you go.

6. $2 {x}^{2} + 5x + 3 = 0$

Since there is no a common factor, we can still simplify them using the factoring method.

$(2x + 3)(x + 1) = 0$

There you go.

13. $8 - 3x = 5 {x}^{2}$

We will now transpose the 5x^2 to the other factors; and that will change its sign.

$8 - 3x - 5 {x}^{2} = 0$

Lets arrange them first to a ax^2 + bx + c = 0.

$- 5 {x}^{2} - 3x + 8 = 0$

We , then, make the a positive by multiplying them by -1; it should always be positive.

$( - 5 {x}^{2} - 3x + 8 = 0)( - 1)$

$5 {x}^{2} + 3x - 8 = 0$

Since there is no common factor—yet is factorable—lets use the factoring method.

$(5x + 8)(x - 1) = 0$

And there you go.

You can do the rest now. Break a leg! :)

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