Question

81x^2+36x+4

Answer 1

What exactly are we supposed to do here?

Answer 2

factor

Answer 3

Okay, so we have an 81 at the beginning there right?

So that tells me that our factorization will look something like this,

\((9x+\underline{~~~~}~)(9x+\underline{~~~~}~)\)

Now, based on that last number (4), what do you think will go into those blanks?

Answer 4

is it 6?

Answer 5

No, what when added will give you 4, and when multiplied by 9 and added to it multiplied by 9 again will give you 36?

Answer 6

\(\underline{~~~~}+\underline{~~~~}=4~~?\)
\((9\times\underline{~~~~})+(9\times\underline{~~~~})=36\)

Answer 7

is it 2?

Answer 8

yeah i think it is 2

Answer 9

It is indeed, so now we have,

\((9x+2)(9x+2)\)

Which can be simplified as,

\((9x+2)^2\)

Make sense?

Answer 10

yes it does make sense thank you

Answer 11

Good job, medal for you for giving proper effort!