Question

I don't want a direct answer, I want someone to help me understand and walk me through the question.

Question:

Vicky factored 30x^2 + 76x + 48 as follows:


Line 1 30x2 + 76x + 48

Line 2 30x2 + 36x + 40x + 48

Line 3 6x(5x + 6) + 8(5x +6)

Line 4 (6x + 8)(5x + 6)


A. Did Vicky completely factor the polynomial? Justify your response by explaining why it is is factored completely or by showing the correct solution if it is not factored completely.


B. Would the problem produce a different result if Line 2 was written as 30x2 + 40x + 36x + 48? Explain why or why not.

Answer 1

@Directrix

Answer 2

First: Do you think it's completely factored? This means that there is nothing possible to pull out of either of the factors.

Answer 3

@Alphabet_Sam Hold on, Ima read through everything right now

Answer 4

Sure thing.

Answer 5

Okay.

Don't you think line 4 can be further reduced? It can... what do you think it can be further reduced to?

Answer 6

Sure, take your time reading @Needhelpstudying

Answer 7

But, line 4 can be reduced.. What can it be reduced to?

Answer 8

It doesn't seem like line 4 can be reduced to me

Answer 9

Take a look at the first set of parentheses. Are you sure you can't pull anything out of both of those terms?

Answer 10

Yeah.. you can dedfinitely pull something out... what do you think?

Answer 11

Yes, you can divide by 2, but then wouldn't you have to do something from the second set of parantheses?

Answer 12

Actaully, a 2 can be pulled out!

Answer 13

Do you see that?

Answer 14

Nope! You can pull a 2 out since it's all multiplication and stick it on the front. Just make sure you don't forget it.

Answer 15

Do you see what I did there? This is also what @Alphabet_Sam said :)

Answer 16

Yea I see that

Answer 17

Great!

Answer 18

Wouldn't it be written like this though: