Question

Simplify the expression.



If the simplified expression is written in standard form, what is the leading coefficient?

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_algebra1_v14/10_10_111.jpg

Answer 2

Firstly solve for :

\[\large x \sqrt{64x^3} \implies x \sqrt{8 \times 8 \times x \times x \times x}\]

Answer 3

So you can take one 8 and one x out:

\[\large \implies x \times 8 \times x \sqrt{x}\]

\[\large \implies 8x^2 \sqrt{x}\]

Answer 4

So the leading coefficient is 8?

Answer 5

This is for first term only..

Answer 6

Okay

Answer 7

No need to solve for second term as it is simplified..

Now for third you can write:

\[\large 8 \sqrt{2x} \implies 8 \sqrt{2} \times \sqrt{x} \implies 8 \sqrt{2} \cdot \sqrt{x}\]

Answer 8

Now you can take root(x) as common from all:

\[\implies \color{green}{\large \sqrt{x}[8x^2 + 2x + 8\sqrt{2}]}\]

Answer 9

In my view It cannot be factorized further..

Answer 10

Okay. But the leading coefficient is still 8 right?

Answer 11

Do you have answer choices with you??

Answer 12

no its a fill in the blank

Answer 13

I am guessing why are you concentrating on 8 ?

Answer 14

because its the first coefficient

Answer 15

yes its 8

Answer 16

okay thank you!